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Finding the Third Proportional to 124,588.13 and 186,843.75

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Solution

The third proportional to 124,588.13 and 186,843.75 is: 280,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,588.13 : 186,843.75 = 186,843.75 : x
  2. Step 2: Convert to fraction form
    124,588.13/186,843.75 = 186,843.75/x
  3. Step 3: Cross multiply
    124,588.13x = 186,843.75 × 186,843.75
  4. Step 4: Simplify right side
    124,588.13x = 34,910,586,914.06
  5. Step 5: Solve for x
    x = 34,910,586,914.06/124,588.13
  6. Step 6: Final answer
    x = 280,207.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.