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Finding the Third Proportional to 57,990 and 125,574

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Solution

The third proportional to 57,990 and 125,574 is: 271,923.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,990 : 125,574 = 125,574 : x
  2. Step 2: Convert to fraction form
    57,990/125,574 = 125,574/x
  3. Step 3: Cross multiply
    57,990x = 125,574 × 125,574
  4. Step 4: Simplify right side
    57,990x = 15,768,829,476
  5. Step 5: Solve for x
    x = 15,768,829,476/57,990
  6. Step 6: Final answer
    x = 271,923.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.