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Finding the Third Proportional to 55,382 and 83,649

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Solution

The third proportional to 55,382 and 83,649 is: 126,343.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382 : 83,649 = 83,649 : x
  2. Step 2: Convert to fraction form
    55,382/83,649 = 83,649/x
  3. Step 3: Cross multiply
    55,382x = 83,649 × 83,649
  4. Step 4: Simplify right side
    55,382x = 6,997,155,201
  5. Step 5: Solve for x
    x = 6,997,155,201/55,382
  6. Step 6: Final answer
    x = 126,343.49

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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.