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Finding the Third Proportional to 100,930 and 156,727

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Solution

The third proportional to 100,930 and 156,727 is: 243,370.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,930 : 156,727 = 156,727 : x
  2. Step 2: Convert to fraction form
    100,930/156,727 = 156,727/x
  3. Step 3: Cross multiply
    100,930x = 156,727 × 156,727
  4. Step 4: Simplify right side
    100,930x = 24,563,352,529
  5. Step 5: Solve for x
    x = 24,563,352,529/100,930
  6. Step 6: Final answer
    x = 243,370.18

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.