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Finding the Third Proportional to 84,219.75 and 123,866.44

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Solution

The third proportional to 84,219.75 and 123,866.44 is: 182,176.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,219.75 : 123,866.44 = 123,866.44 : x
  2. Step 2: Convert to fraction form
    84,219.75/123,866.44 = 123,866.44/x
  3. Step 3: Cross multiply
    84,219.75x = 123,866.44 × 123,866.44
  4. Step 4: Simplify right side
    84,219.75x = 15,342,894,338.94
  5. Step 5: Solve for x
    x = 15,342,894,338.94/84,219.75
  6. Step 6: Final answer
    x = 182,176.92

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.