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Finding the Third Proportional to 57,382 and 125,840

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Solution

The third proportional to 57,382 and 125,840 is: 275,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,382 : 125,840 = 125,840 : x
  2. Step 2: Convert to fraction form
    57,382/125,840 = 125,840/x
  3. Step 3: Cross multiply
    57,382x = 125,840 × 125,840
  4. Step 4: Simplify right side
    57,382x = 15,835,705,600
  5. Step 5: Solve for x
    x = 15,835,705,600/57,382
  6. Step 6: Final answer
    x = 275,969.91

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Why These Related Problems?

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