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Finding the Third Proportional to 55,608 and 83,892

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Solution

The third proportional to 55,608 and 83,892 is: 126,562.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,608 : 83,892 = 83,892 : x
  2. Step 2: Convert to fraction form
    55,608/83,892 = 83,892/x
  3. Step 3: Cross multiply
    55,608x = 83,892 × 83,892
  4. Step 4: Simplify right side
    55,608x = 7,037,867,664
  5. Step 5: Solve for x
    x = 7,037,867,664/55,608
  6. Step 6: Final answer
    x = 126,562.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.