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Finding the Third Proportional to 124,624.25 and 188,422.88

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Solution

The third proportional to 124,624.25 and 188,422.88 is: 284,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,624.25 : 188,422.88 = 188,422.88 : x
  2. Step 2: Convert to fraction form
    124,624.25/188,422.88 = 188,422.88/x
  3. Step 3: Cross multiply
    124,624.25x = 188,422.88 × 188,422.88
  4. Step 4: Simplify right side
    124,624.25x = 35,503,179,823.27
  5. Step 5: Solve for x
    x = 35,503,179,823.27/124,624.25
  6. Step 6: Final answer
    x = 284,881.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.