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Finding the Third Proportional to 63,370 and 136,099

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Solution

The third proportional to 63,370 and 136,099 is: 292,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,370 : 136,099 = 136,099 : x
  2. Step 2: Convert to fraction form
    63,370/136,099 = 136,099/x
  3. Step 3: Cross multiply
    63,370x = 136,099 × 136,099
  4. Step 4: Simplify right side
    63,370x = 18,522,937,801
  5. Step 5: Solve for x
    x = 18,522,937,801/63,370
  6. Step 6: Final answer
    x = 292,298.21

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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.