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Finding the Third Proportional to 61,902 and 96,087

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Solution

The third proportional to 61,902 and 96,087 is: 149,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,902 : 96,087 = 96,087 : x
  2. Step 2: Convert to fraction form
    61,902/96,087 = 96,087/x
  3. Step 3: Cross multiply
    61,902x = 96,087 × 96,087
  4. Step 4: Simplify right side
    61,902x = 9,232,711,569
  5. Step 5: Solve for x
    x = 9,232,711,569/61,902
  6. Step 6: Final answer
    x = 149,150.46

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Why These Related Problems?

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