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Finding the Third Proportional to 70,902 and 106,569

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Solution

The third proportional to 70,902 and 106,569 is: 160,178.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,902 : 106,569 = 106,569 : x
  2. Step 2: Convert to fraction form
    70,902/106,569 = 106,569/x
  3. Step 3: Cross multiply
    70,902x = 106,569 × 106,569
  4. Step 4: Simplify right side
    70,902x = 11,356,951,761
  5. Step 5: Solve for x
    x = 11,356,951,761/70,902
  6. Step 6: Final answer
    x = 160,178.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.