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Finding the Third Proportional to 42,498 and 90,780

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Solution

The third proportional to 42,498 and 90,780 is: 193,915.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,498 : 90,780 = 90,780 : x
  2. Step 2: Convert to fraction form
    42,498/90,780 = 90,780/x
  3. Step 3: Cross multiply
    42,498x = 90,780 × 90,780
  4. Step 4: Simplify right side
    42,498x = 8,241,008,400
  5. Step 5: Solve for x
    x = 8,241,008,400/42,498
  6. Step 6: Final answer
    x = 193,915.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.