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Finding the Third Proportional to 83,574 and 125,760

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Solution

The third proportional to 83,574 and 125,760 is: 189,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,574 : 125,760 = 125,760 : x
  2. Step 2: Convert to fraction form
    83,574/125,760 = 125,760/x
  3. Step 3: Cross multiply
    83,574x = 125,760 × 125,760
  4. Step 4: Simplify right side
    83,574x = 15,815,577,600
  5. Step 5: Solve for x
    x = 15,815,577,600/83,574
  6. Step 6: Final answer
    x = 189,240.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.