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Finding the Third Proportional to 151,877 and 162,569

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Solution

The third proportional to 151,877 and 162,569 is: 174,013.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,877 : 162,569 = 162,569 : x
  2. Step 2: Convert to fraction form
    151,877/162,569 = 162,569/x
  3. Step 3: Cross multiply
    151,877x = 162,569 × 162,569
  4. Step 4: Simplify right side
    151,877x = 26,428,679,761
  5. Step 5: Solve for x
    x = 26,428,679,761/151,877
  6. Step 6: Final answer
    x = 174,013.71

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.