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Finding the Third Proportional to 55,113 and 82,548

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Solution

The third proportional to 55,113 and 82,548 is: 123,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,113 : 82,548 = 82,548 : x
  2. Step 2: Convert to fraction form
    55,113/82,548 = 82,548/x
  3. Step 3: Cross multiply
    55,113x = 82,548 × 82,548
  4. Step 4: Simplify right side
    55,113x = 6,814,172,304
  5. Step 5: Solve for x
    x = 6,814,172,304/55,113
  6. Step 6: Final answer
    x = 123,640.02

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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.