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Finding the Third Proportional to 107,914.78 and 161,872.17

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Solution

The third proportional to 107,914.78 and 161,872.17 is: 242,808.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,914.78 : 161,872.17 = 161,872.17 : x
  2. Step 2: Convert to fraction form
    107,914.78/161,872.17 = 161,872.17/x
  3. Step 3: Cross multiply
    107,914.78x = 161,872.17 × 161,872.17
  4. Step 4: Simplify right side
    107,914.78x = 26,202,600,027.53
  5. Step 5: Solve for x
    x = 26,202,600,027.53/107,914.78
  6. Step 6: Final answer
    x = 242,808.26

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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.