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Finding the Third Proportional to 42,527 and 90,431

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Solution

The third proportional to 42,527 and 90,431 is: 192,295.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,527 : 90,431 = 90,431 : x
  2. Step 2: Convert to fraction form
    42,527/90,431 = 90,431/x
  3. Step 3: Cross multiply
    42,527x = 90,431 × 90,431
  4. Step 4: Simplify right side
    42,527x = 8,177,765,761
  5. Step 5: Solve for x
    x = 8,177,765,761/42,527
  6. Step 6: Final answer
    x = 192,295.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.