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Finding the Third Proportional to 85,414 and 125,913

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Solution

The third proportional to 85,414 and 125,913 is: 185,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414 : 125,913 = 125,913 : x
  2. Step 2: Convert to fraction form
    85,414/125,913 = 125,913/x
  3. Step 3: Cross multiply
    85,414x = 125,913 × 125,913
  4. Step 4: Simplify right side
    85,414x = 15,854,083,569
  5. Step 5: Solve for x
    x = 15,854,083,569/85,414
  6. Step 6: Final answer
    x = 185,614.58

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.