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Finding the Third Proportional to 136,766 and 207,042

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Solution

The third proportional to 136,766 and 207,042 is: 313,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,766 : 207,042 = 207,042 : x
  2. Step 2: Convert to fraction form
    136,766/207,042 = 207,042/x
  3. Step 3: Cross multiply
    136,766x = 207,042 × 207,042
  4. Step 4: Simplify right side
    136,766x = 42,866,389,764
  5. Step 5: Solve for x
    x = 42,866,389,764/136,766
  6. Step 6: Final answer
    x = 313,428.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.