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Finding the Third Proportional to 43,170 and 88,481

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Solution

The third proportional to 43,170 and 88,481 is: 181,350.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,170 : 88,481 = 88,481 : x
  2. Step 2: Convert to fraction form
    43,170/88,481 = 88,481/x
  3. Step 3: Cross multiply
    43,170x = 88,481 × 88,481
  4. Step 4: Simplify right side
    43,170x = 7,828,887,361
  5. Step 5: Solve for x
    x = 7,828,887,361/43,170
  6. Step 6: Final answer
    x = 181,350.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.