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Finding the Third Proportional to 81,105.75 and 173,421

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Solution

The third proportional to 81,105.75 and 173,421 is: 370,810.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,105.75 : 173,421 = 173,421 : x
  2. Step 2: Convert to fraction form
    81,105.75/173,421 = 173,421/x
  3. Step 3: Cross multiply
    81,105.75x = 173,421 × 173,421
  4. Step 4: Simplify right side
    81,105.75x = 30,074,843,241
  5. Step 5: Solve for x
    x = 30,074,843,241/81,105.75
  6. Step 6: Final answer
    x = 370,810.25

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.