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Finding the Third Proportional to 63,129 and 136,101

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Solution

The third proportional to 63,129 and 136,101 is: 293,422.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,129 : 136,101 = 136,101 : x
  2. Step 2: Convert to fraction form
    63,129/136,101 = 136,101/x
  3. Step 3: Cross multiply
    63,129x = 136,101 × 136,101
  4. Step 4: Simplify right side
    63,129x = 18,523,482,201
  5. Step 5: Solve for x
    x = 18,523,482,201/63,129
  6. Step 6: Final answer
    x = 293,422.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.