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Finding the Third Proportional to 103,287.50 and 158,812

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Solution

The third proportional to 103,287.50 and 158,812 is: 244,184.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,287.50 : 158,812 = 158,812 : x
  2. Step 2: Convert to fraction form
    103,287.50/158,812 = 158,812/x
  3. Step 3: Cross multiply
    103,287.50x = 158,812 × 158,812
  4. Step 4: Simplify right side
    103,287.50x = 25,221,251,344
  5. Step 5: Solve for x
    x = 25,221,251,344/103,287.50
  6. Step 6: Final answer
    x = 244,184.93

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.