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Finding the Third Proportional to 57,527 and 125,513

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Solution

The third proportional to 57,527 and 125,513 is: 273,845.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,527 : 125,513 = 125,513 : x
  2. Step 2: Convert to fraction form
    57,527/125,513 = 125,513/x
  3. Step 3: Cross multiply
    57,527x = 125,513 × 125,513
  4. Step 4: Simplify right side
    57,527x = 15,753,513,169
  5. Step 5: Solve for x
    x = 15,753,513,169/57,527
  6. Step 6: Final answer
    x = 273,845.55

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.