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Finding the Third Proportional to 63,102 and 135,924

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Solution

The third proportional to 63,102 and 135,924 is: 292,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,102 : 135,924 = 135,924 : x
  2. Step 2: Convert to fraction form
    63,102/135,924 = 135,924/x
  3. Step 3: Cross multiply
    63,102x = 135,924 × 135,924
  4. Step 4: Simplify right side
    63,102x = 18,475,333,776
  5. Step 5: Solve for x
    x = 18,475,333,776/63,102
  6. Step 6: Final answer
    x = 292,785.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.