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Finding the Third Proportional to 57,792 and 91,536

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Solution

The third proportional to 57,792 and 91,536 is: 144,982.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,792 : 91,536 = 91,536 : x
  2. Step 2: Convert to fraction form
    57,792/91,536 = 91,536/x
  3. Step 3: Cross multiply
    57,792x = 91,536 × 91,536
  4. Step 4: Simplify right side
    57,792x = 8,378,839,296
  5. Step 5: Solve for x
    x = 8,378,839,296/57,792
  6. Step 6: Final answer
    x = 144,982.68

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.