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Finding the Third Proportional to 45,261 and 99,443

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Solution

The third proportional to 45,261 and 99,443 is: 218,486.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,261 : 99,443 = 99,443 : x
  2. Step 2: Convert to fraction form
    45,261/99,443 = 99,443/x
  3. Step 3: Cross multiply
    45,261x = 99,443 × 99,443
  4. Step 4: Simplify right side
    45,261x = 9,888,910,249
  5. Step 5: Solve for x
    x = 9,888,910,249/45,261
  6. Step 6: Final answer
    x = 218,486.34

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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.