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Finding the Third Proportional to 84,517.50 and 181,032

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Solution

The third proportional to 84,517.50 and 181,032 is: 387,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,517.50 : 181,032 = 181,032 : x
  2. Step 2: Convert to fraction form
    84,517.50/181,032 = 181,032/x
  3. Step 3: Cross multiply
    84,517.50x = 181,032 × 181,032
  4. Step 4: Simplify right side
    84,517.50x = 32,772,585,024
  5. Step 5: Solve for x
    x = 32,772,585,024/84,517.50
  6. Step 6: Final answer
    x = 387,760.94

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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.