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Finding the Third Proportional to 101,073.38 and 156,718.69

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Solution

The third proportional to 101,073.38 and 156,718.69 is: 242,999.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,073.38 : 156,718.69 = 156,718.69 : x
  2. Step 2: Convert to fraction form
    101,073.38/156,718.69 = 156,718.69/x
  3. Step 3: Cross multiply
    101,073.38x = 156,718.69 × 156,718.69
  4. Step 4: Simplify right side
    101,073.38x = 24,560,747,011.72
  5. Step 5: Solve for x
    x = 24,560,747,011.72/101,073.38
  6. Step 6: Final answer
    x = 242,999.18

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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.