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Finding the Third Proportional to 53,082 and 82,853

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Solution

The third proportional to 53,082 and 82,853 is: 129,321.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,082 : 82,853 = 82,853 : x
  2. Step 2: Convert to fraction form
    53,082/82,853 = 82,853/x
  3. Step 3: Cross multiply
    53,082x = 82,853 × 82,853
  4. Step 4: Simplify right side
    53,082x = 6,864,619,609
  5. Step 5: Solve for x
    x = 6,864,619,609/53,082
  6. Step 6: Final answer
    x = 129,321.04

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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.