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Finding the Third Proportional to 55,350 and 83,082

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Solution

The third proportional to 55,350 and 83,082 is: 124,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,350 : 83,082 = 83,082 : x
  2. Step 2: Convert to fraction form
    55,350/83,082 = 83,082/x
  3. Step 3: Cross multiply
    55,350x = 83,082 × 83,082
  4. Step 4: Simplify right side
    55,350x = 6,902,618,724
  5. Step 5: Solve for x
    x = 6,902,618,724/55,350
  6. Step 6: Final answer
    x = 124,708.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.