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Finding the Third Proportional to 63,374 and 136,108

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Solution

The third proportional to 63,374 and 136,108 is: 292,318.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,374 : 136,108 = 136,108 : x
  2. Step 2: Convert to fraction form
    63,374/136,108 = 136,108/x
  3. Step 3: Cross multiply
    63,374x = 136,108 × 136,108
  4. Step 4: Simplify right side
    63,374x = 18,525,387,664
  5. Step 5: Solve for x
    x = 18,525,387,664/63,374
  6. Step 6: Final answer
    x = 292,318.42

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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.