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Finding the Third Proportional to 42,474 and 92,332

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Solution

The third proportional to 42,474 and 92,332 is: 200,715.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,474 : 92,332 = 92,332 : x
  2. Step 2: Convert to fraction form
    42,474/92,332 = 92,332/x
  3. Step 3: Cross multiply
    42,474x = 92,332 × 92,332
  4. Step 4: Simplify right side
    42,474x = 8,525,198,224
  5. Step 5: Solve for x
    x = 8,525,198,224/42,474
  6. Step 6: Final answer
    x = 200,715.69

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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.