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Finding the Third Proportional to 60,272 and 87,672

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Solution

The third proportional to 60,272 and 87,672 is: 127,528.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,272 : 87,672 = 87,672 : x
  2. Step 2: Convert to fraction form
    60,272/87,672 = 87,672/x
  3. Step 3: Cross multiply
    60,272x = 87,672 × 87,672
  4. Step 4: Simplify right side
    60,272x = 7,686,379,584
  5. Step 5: Solve for x
    x = 7,686,379,584/60,272
  6. Step 6: Final answer
    x = 127,528.20

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.