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Finding the Third Proportional to 62,719 and 151,691

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Solution

The third proportional to 62,719 and 151,691 is: 366,877.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,719 : 151,691 = 151,691 : x
  2. Step 2: Convert to fraction form
    62,719/151,691 = 151,691/x
  3. Step 3: Cross multiply
    62,719x = 151,691 × 151,691
  4. Step 4: Simplify right side
    62,719x = 23,010,159,481
  5. Step 5: Solve for x
    x = 23,010,159,481/62,719
  6. Step 6: Final answer
    x = 366,877.01

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.