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Finding the Third Proportional to 57,972 and 76,574

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Solution

The third proportional to 57,972 and 76,574 is: 101,144.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,972 : 76,574 = 76,574 : x
  2. Step 2: Convert to fraction form
    57,972/76,574 = 76,574/x
  3. Step 3: Cross multiply
    57,972x = 76,574 × 76,574
  4. Step 4: Simplify right side
    57,972x = 5,863,577,476
  5. Step 5: Solve for x
    x = 5,863,577,476/57,972
  6. Step 6: Final answer
    x = 101,144.99

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.