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Finding the Third Proportional to 52,482 and 82,092

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Solution

The third proportional to 52,482 and 82,092 is: 128,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,482 : 82,092 = 82,092 : x
  2. Step 2: Convert to fraction form
    52,482/82,092 = 82,092/x
  3. Step 3: Cross multiply
    52,482x = 82,092 × 82,092
  4. Step 4: Simplify right side
    52,482x = 6,739,096,464
  5. Step 5: Solve for x
    x = 6,739,096,464/52,482
  6. Step 6: Final answer
    x = 128,407.77

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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.