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Finding the Third Proportional to 54,480 and 82,182

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Solution

The third proportional to 54,480 and 82,182 is: 123,969.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,480 : 82,182 = 82,182 : x
  2. Step 2: Convert to fraction form
    54,480/82,182 = 82,182/x
  3. Step 3: Cross multiply
    54,480x = 82,182 × 82,182
  4. Step 4: Simplify right side
    54,480x = 6,753,881,124
  5. Step 5: Solve for x
    x = 6,753,881,124/54,480
  6. Step 6: Final answer
    x = 123,969.92

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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.