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Finding the Third Proportional to 56,382 and 84,399

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Solution

The third proportional to 56,382 and 84,399 is: 126,338.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,382 : 84,399 = 84,399 : x
  2. Step 2: Convert to fraction form
    56,382/84,399 = 84,399/x
  3. Step 3: Cross multiply
    56,382x = 84,399 × 84,399
  4. Step 4: Simplify right side
    56,382x = 7,123,191,201
  5. Step 5: Solve for x
    x = 7,123,191,201/56,382
  6. Step 6: Final answer
    x = 126,338.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.