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Finding the Third Proportional to 62,080 and 88,664

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Solution

The third proportional to 62,080 and 88,664 is: 126,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,080 : 88,664 = 88,664 : x
  2. Step 2: Convert to fraction form
    62,080/88,664 = 88,664/x
  3. Step 3: Cross multiply
    62,080x = 88,664 × 88,664
  4. Step 4: Simplify right side
    62,080x = 7,861,304,896
  5. Step 5: Solve for x
    x = 7,861,304,896/62,080
  6. Step 6: Final answer
    x = 126,631.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.