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Finding the Third Proportional to 102,538 and 156,747

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Solution

The third proportional to 102,538 and 156,747 is: 239,614.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,538 : 156,747 = 156,747 : x
  2. Step 2: Convert to fraction form
    102,538/156,747 = 156,747/x
  3. Step 3: Cross multiply
    102,538x = 156,747 × 156,747
  4. Step 4: Simplify right side
    102,538x = 24,569,622,009
  5. Step 5: Solve for x
    x = 24,569,622,009/102,538
  6. Step 6: Final answer
    x = 239,614.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.