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Finding the Third Proportional to 136,166.25 and 199,671.38

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Solution

The third proportional to 136,166.25 and 199,671.38 is: 292,793.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,166.25 : 199,671.38 = 199,671.38 : x
  2. Step 2: Convert to fraction form
    136,166.25/199,671.38 = 199,671.38/x
  3. Step 3: Cross multiply
    136,166.25x = 199,671.38 × 199,671.38
  4. Step 4: Simplify right side
    136,166.25x = 39,868,657,994.39
  5. Step 5: Solve for x
    x = 39,868,657,994.39/136,166.25
  6. Step 6: Final answer
    x = 292,793.98

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.