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Finding the Third Proportional to 136,881 and 292,673.25

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Solution

The third proportional to 136,881 and 292,673.25 is: 625,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,881 : 292,673.25 = 292,673.25 : x
  2. Step 2: Convert to fraction form
    136,881/292,673.25 = 292,673.25/x
  3. Step 3: Cross multiply
    136,881x = 292,673.25 × 292,673.25
  4. Step 4: Simplify right side
    136,881x = 85,657,631,265.56
  5. Step 5: Solve for x
    x = 85,657,631,265.56/136,881
  6. Step 6: Final answer
    x = 625,781.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.