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Finding the Third Proportional to 55,600 and 83,882

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Solution

The third proportional to 55,600 and 83,882 is: 126,550.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,600 : 83,882 = 83,882 : x
  2. Step 2: Convert to fraction form
    55,600/83,882 = 83,882/x
  3. Step 3: Cross multiply
    55,600x = 83,882 × 83,882
  4. Step 4: Simplify right side
    55,600x = 7,036,189,924
  5. Step 5: Solve for x
    x = 7,036,189,924/55,600
  6. Step 6: Final answer
    x = 126,550.18

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