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Finding the Third Proportional to 136,106 and 199,411

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Solution

The third proportional to 136,106 and 199,411 is: 292,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,106 : 199,411 = 199,411 : x
  2. Step 2: Convert to fraction form
    136,106/199,411 = 199,411/x
  3. Step 3: Cross multiply
    136,106x = 199,411 × 199,411
  4. Step 4: Simplify right side
    136,106x = 39,764,746,921
  5. Step 5: Solve for x
    x = 39,764,746,921/136,106
  6. Step 6: Final answer
    x = 292,160.13

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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.