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Finding the Third Proportional to 52,704 and 82,080

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Solution

The third proportional to 52,704 and 82,080 is: 127,829.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,704 : 82,080 = 82,080 : x
  2. Step 2: Convert to fraction form
    52,704/82,080 = 82,080/x
  3. Step 3: Cross multiply
    52,704x = 82,080 × 82,080
  4. Step 4: Simplify right side
    52,704x = 6,737,126,400
  5. Step 5: Solve for x
    x = 6,737,126,400/52,704
  6. Step 6: Final answer
    x = 127,829.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.