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Finding the Third Proportional to 62,214 and 95,625

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Solution

The third proportional to 62,214 and 95,625 is: 146,978.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,214 : 95,625 = 95,625 : x
  2. Step 2: Convert to fraction form
    62,214/95,625 = 95,625/x
  3. Step 3: Cross multiply
    62,214x = 95,625 × 95,625
  4. Step 4: Simplify right side
    62,214x = 9,144,140,625
  5. Step 5: Solve for x
    x = 9,144,140,625/62,214
  6. Step 6: Final answer
    x = 146,978.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.