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Finding the Third Proportional to 45,351 and 98,730

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Solution

The third proportional to 45,351 and 98,730 is: 214,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,351 : 98,730 = 98,730 : x
  2. Step 2: Convert to fraction form
    45,351/98,730 = 98,730/x
  3. Step 3: Cross multiply
    45,351x = 98,730 × 98,730
  4. Step 4: Simplify right side
    45,351x = 9,747,612,900
  5. Step 5: Solve for x
    x = 9,747,612,900/45,351
  6. Step 6: Final answer
    x = 214,937.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.