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Finding the Third Proportional to 113,865.75 and 170,178.75

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Solution

The third proportional to 113,865.75 and 170,178.75 is: 254,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,865.75 : 170,178.75 = 170,178.75 : x
  2. Step 2: Convert to fraction form
    113,865.75/170,178.75 = 170,178.75/x
  3. Step 3: Cross multiply
    113,865.75x = 170,178.75 × 170,178.75
  4. Step 4: Simplify right side
    113,865.75x = 28,960,806,951.56
  5. Step 5: Solve for x
    x = 28,960,806,951.56/113,865.75
  6. Step 6: Final answer
    x = 254,341.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.