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Finding the Third Proportional to 85,612 and 125,940

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Solution

The third proportional to 85,612 and 125,940 is: 185,264.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,612 : 125,940 = 125,940 : x
  2. Step 2: Convert to fraction form
    85,612/125,940 = 125,940/x
  3. Step 3: Cross multiply
    85,612x = 125,940 × 125,940
  4. Step 4: Simplify right side
    85,612x = 15,860,883,600
  5. Step 5: Solve for x
    x = 15,860,883,600/85,612
  6. Step 6: Final answer
    x = 185,264.72

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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.