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Finding the Third Proportional to 85,404 and 125,898

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Solution

The third proportional to 85,404 and 125,898 is: 185,592.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,404 : 125,898 = 125,898 : x
  2. Step 2: Convert to fraction form
    85,404/125,898 = 125,898/x
  3. Step 3: Cross multiply
    85,404x = 125,898 × 125,898
  4. Step 4: Simplify right side
    85,404x = 15,850,306,404
  5. Step 5: Solve for x
    x = 15,850,306,404/85,404
  6. Step 6: Final answer
    x = 185,592.08

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Why These Related Problems?

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