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Finding the Third Proportional to 102,039.75 and 158,388.75

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Solution

The third proportional to 102,039.75 and 158,388.75 is: 245,855.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039.75 : 158,388.75 = 158,388.75 : x
  2. Step 2: Convert to fraction form
    102,039.75/158,388.75 = 158,388.75/x
  3. Step 3: Cross multiply
    102,039.75x = 158,388.75 × 158,388.75
  4. Step 4: Simplify right side
    102,039.75x = 25,086,996,126.56
  5. Step 5: Solve for x
    x = 25,086,996,126.56/102,039.75
  6. Step 6: Final answer
    x = 245,855.13

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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.