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Finding the Third Proportional to 62,460 and 95,250

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Solution

The third proportional to 62,460 and 95,250 is: 145,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,460 : 95,250 = 95,250 : x
  2. Step 2: Convert to fraction form
    62,460/95,250 = 95,250/x
  3. Step 3: Cross multiply
    62,460x = 95,250 × 95,250
  4. Step 4: Simplify right side
    62,460x = 9,072,562,500
  5. Step 5: Solve for x
    x = 9,072,562,500/62,460
  6. Step 6: Final answer
    x = 145,253.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.