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Finding the Third Proportional to 125,974.88 and 274,091.63

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Solution

The third proportional to 125,974.88 and 274,091.63 is: 596,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,974.88 : 274,091.63 = 274,091.63 : x
  2. Step 2: Convert to fraction form
    125,974.88/274,091.63 = 274,091.63/x
  3. Step 3: Cross multiply
    125,974.88x = 274,091.63 × 274,091.63
  4. Step 4: Simplify right side
    125,974.88x = 75,126,218,895.14
  5. Step 5: Solve for x
    x = 75,126,218,895.14/125,974.88
  6. Step 6: Final answer
    x = 596,358.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.