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Finding the Third Proportional to 42,532.88 and 91,566

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Solution

The third proportional to 42,532.88 and 91,566 is: 197,125.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,532.88 : 91,566 = 91,566 : x
  2. Step 2: Convert to fraction form
    42,532.88/91,566 = 91,566/x
  3. Step 3: Cross multiply
    42,532.88x = 91,566 × 91,566
  4. Step 4: Simplify right side
    42,532.88x = 8,384,332,356
  5. Step 5: Solve for x
    x = 8,384,332,356/42,532.88
  6. Step 6: Final answer
    x = 197,125.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.