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Finding the Third Proportional to 45,170 and 99,092

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Solution

The third proportional to 45,170 and 99,092 is: 217,383.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,170 : 99,092 = 99,092 : x
  2. Step 2: Convert to fraction form
    45,170/99,092 = 99,092/x
  3. Step 3: Cross multiply
    45,170x = 99,092 × 99,092
  4. Step 4: Simplify right side
    45,170x = 9,819,224,464
  5. Step 5: Solve for x
    x = 9,819,224,464/45,170
  6. Step 6: Final answer
    x = 217,383.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.