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Finding the Third Proportional to 55,622 and 83,541

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Solution

The third proportional to 55,622 and 83,541 is: 125,473.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,622 : 83,541 = 83,541 : x
  2. Step 2: Convert to fraction form
    55,622/83,541 = 83,541/x
  3. Step 3: Cross multiply
    55,622x = 83,541 × 83,541
  4. Step 4: Simplify right side
    55,622x = 6,979,098,681
  5. Step 5: Solve for x
    x = 6,979,098,681/55,622
  6. Step 6: Final answer
    x = 125,473.71

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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.