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Finding the Third Proportional to 45,395 and 99,748

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Solution

The third proportional to 45,395 and 99,748 is: 219,179.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,395 : 99,748 = 99,748 : x
  2. Step 2: Convert to fraction form
    45,395/99,748 = 99,748/x
  3. Step 3: Cross multiply
    45,395x = 99,748 × 99,748
  4. Step 4: Simplify right side
    45,395x = 9,949,663,504
  5. Step 5: Solve for x
    x = 9,949,663,504/45,395
  6. Step 6: Final answer
    x = 219,179.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.