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Finding the Third Proportional to 62,085 and 95,129

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Solution

The third proportional to 62,085 and 95,129 is: 145,760.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,085 : 95,129 = 95,129 : x
  2. Step 2: Convert to fraction form
    62,085/95,129 = 95,129/x
  3. Step 3: Cross multiply
    62,085x = 95,129 × 95,129
  4. Step 4: Simplify right side
    62,085x = 9,049,526,641
  5. Step 5: Solve for x
    x = 9,049,526,641/62,085
  6. Step 6: Final answer
    x = 145,760.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.