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Finding the Third Proportional to 37,498 and 81,558

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Solution

The third proportional to 37,498 and 81,558 is: 177,388.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,498 : 81,558 = 81,558 : x
  2. Step 2: Convert to fraction form
    37,498/81,558 = 81,558/x
  3. Step 3: Cross multiply
    37,498x = 81,558 × 81,558
  4. Step 4: Simplify right side
    37,498x = 6,651,707,364
  5. Step 5: Solve for x
    x = 6,651,707,364/37,498
  6. Step 6: Final answer
    x = 177,388.32

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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.