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Finding the Third Proportional to 113,987.25 and 176,937.75

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Solution

The third proportional to 113,987.25 and 176,937.75 is: 274,653.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,987.25 : 176,937.75 = 176,937.75 : x
  2. Step 2: Convert to fraction form
    113,987.25/176,937.75 = 176,937.75/x
  3. Step 3: Cross multiply
    113,987.25x = 176,937.75 × 176,937.75
  4. Step 4: Simplify right side
    113,987.25x = 31,306,967,375.06
  5. Step 5: Solve for x
    x = 31,306,967,375.06/113,987.25
  6. Step 6: Final answer
    x = 274,653.24

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.