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Finding the Third Proportional to 81,610.50 and 173,017.50

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Solution

The third proportional to 81,610.50 and 173,017.50 is: 366,803.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,610.50 : 173,017.50 = 173,017.50 : x
  2. Step 2: Convert to fraction form
    81,610.50/173,017.50 = 173,017.50/x
  3. Step 3: Cross multiply
    81,610.50x = 173,017.50 × 173,017.50
  4. Step 4: Simplify right side
    81,610.50x = 29,935,055,306.25
  5. Step 5: Solve for x
    x = 29,935,055,306.25/81,610.50
  6. Step 6: Final answer
    x = 366,803.97

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.