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Finding the Third Proportional to 45,498 and 98,764

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Solution

The third proportional to 45,498 and 98,764 is: 214,390.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,498 : 98,764 = 98,764 : x
  2. Step 2: Convert to fraction form
    45,498/98,764 = 98,764/x
  3. Step 3: Cross multiply
    45,498x = 98,764 × 98,764
  4. Step 4: Simplify right side
    45,498x = 9,754,327,696
  5. Step 5: Solve for x
    x = 9,754,327,696/45,498
  6. Step 6: Final answer
    x = 214,390.25

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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.