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Finding the Third Proportional to 82,080 and 125,592

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Solution

The third proportional to 82,080 and 125,592 is: 192,170.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,080 : 125,592 = 125,592 : x
  2. Step 2: Convert to fraction form
    82,080/125,592 = 125,592/x
  3. Step 3: Cross multiply
    82,080x = 125,592 × 125,592
  4. Step 4: Simplify right side
    82,080x = 15,773,350,464
  5. Step 5: Solve for x
    x = 15,773,350,464/82,080
  6. Step 6: Final answer
    x = 192,170.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.