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Finding the Third Proportional to 57,534 and 125,526

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Solution

The third proportional to 57,534 and 125,526 is: 273,868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,534 : 125,526 = 125,526 : x
  2. Step 2: Convert to fraction form
    57,534/125,526 = 125,526/x
  3. Step 3: Cross multiply
    57,534x = 125,526 × 125,526
  4. Step 4: Simplify right side
    57,534x = 15,756,776,676
  5. Step 5: Solve for x
    x = 15,756,776,676/57,534
  6. Step 6: Final answer
    x = 273,868.96

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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.