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Finding the Third Proportional to 45,122 and 99,244

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Solution

The third proportional to 45,122 and 99,244 is: 218,283.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,122 : 99,244 = 99,244 : x
  2. Step 2: Convert to fraction form
    45,122/99,244 = 99,244/x
  3. Step 3: Cross multiply
    45,122x = 99,244 × 99,244
  4. Step 4: Simplify right side
    45,122x = 9,849,371,536
  5. Step 5: Solve for x
    x = 9,849,371,536/45,122
  6. Step 6: Final answer
    x = 218,283.13

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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.