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Finding the Third Proportional to 56,438 and 84,382

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Solution

The third proportional to 56,438 and 84,382 is: 126,161.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,438 : 84,382 = 84,382 : x
  2. Step 2: Convert to fraction form
    56,438/84,382 = 84,382/x
  3. Step 3: Cross multiply
    56,438x = 84,382 × 84,382
  4. Step 4: Simplify right side
    56,438x = 7,120,321,924
  5. Step 5: Solve for x
    x = 7,120,321,924/56,438
  6. Step 6: Final answer
    x = 126,161.84

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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.