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Finding the Third Proportional to 84,237.75 and 123,062.25

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Solution

The third proportional to 84,237.75 and 123,062.25 is: 179,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,237.75 : 123,062.25 = 123,062.25 : x
  2. Step 2: Convert to fraction form
    84,237.75/123,062.25 = 123,062.25/x
  3. Step 3: Cross multiply
    84,237.75x = 123,062.25 × 123,062.25
  4. Step 4: Simplify right side
    84,237.75x = 15,144,317,375.06
  5. Step 5: Solve for x
    x = 15,144,317,375.06/84,237.75
  6. Step 6: Final answer
    x = 179,780.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.