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Finding the Third Proportional to 57,240 and 125,414

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Solution

The third proportional to 57,240 and 125,414 is: 274,784.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,240 : 125,414 = 125,414 : x
  2. Step 2: Convert to fraction form
    57,240/125,414 = 125,414/x
  3. Step 3: Cross multiply
    57,240x = 125,414 × 125,414
  4. Step 4: Simplify right side
    57,240x = 15,728,671,396
  5. Step 5: Solve for x
    x = 15,728,671,396/57,240
  6. Step 6: Final answer
    x = 274,784.62

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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.