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Finding the Third Proportional to 45,279 and 99,522

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Solution

The third proportional to 45,279 and 99,522 is: 218,746.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,279 : 99,522 = 99,522 : x
  2. Step 2: Convert to fraction form
    45,279/99,522 = 99,522/x
  3. Step 3: Cross multiply
    45,279x = 99,522 × 99,522
  4. Step 4: Simplify right side
    45,279x = 9,904,628,484
  5. Step 5: Solve for x
    x = 9,904,628,484/45,279
  6. Step 6: Final answer
    x = 218,746.63

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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.