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Finding the Third Proportional to 85,060.13 and 125,650.13

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Solution

The third proportional to 85,060.13 and 125,650.13 is: 185,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,060.13 : 125,650.13 = 125,650.13 : x
  2. Step 2: Convert to fraction form
    85,060.13/125,650.13 = 125,650.13/x
  3. Step 3: Cross multiply
    85,060.13x = 125,650.13 × 125,650.13
  4. Step 4: Simplify right side
    85,060.13x = 15,787,953,912.52
  5. Step 5: Solve for x
    x = 15,787,953,912.52/85,060.13
  6. Step 6: Final answer
    x = 185,609.34

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.