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Finding the Third Proportional to 57,156 and 125,382

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Solution

The third proportional to 57,156 and 125,382 is: 275,048.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,156 : 125,382 = 125,382 : x
  2. Step 2: Convert to fraction form
    57,156/125,382 = 125,382/x
  3. Step 3: Cross multiply
    57,156x = 125,382 × 125,382
  4. Step 4: Simplify right side
    57,156x = 15,720,645,924
  5. Step 5: Solve for x
    x = 15,720,645,924/57,156
  6. Step 6: Final answer
    x = 275,048.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.