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Finding the Third Proportional to 83,271.75 and 123,062.25

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Solution

The third proportional to 83,271.75 and 123,062.25 is: 181,866.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,271.75 : 123,062.25 = 123,062.25 : x
  2. Step 2: Convert to fraction form
    83,271.75/123,062.25 = 123,062.25/x
  3. Step 3: Cross multiply
    83,271.75x = 123,062.25 × 123,062.25
  4. Step 4: Simplify right side
    83,271.75x = 15,144,317,375.06
  5. Step 5: Solve for x
    x = 15,144,317,375.06/83,271.75
  6. Step 6: Final answer
    x = 181,866.21

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.