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Finding the Third Proportional to 78,943.50 and 150,612.75

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Solution

The third proportional to 78,943.50 and 150,612.75 is: 287,347.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,943.50 : 150,612.75 = 150,612.75 : x
  2. Step 2: Convert to fraction form
    78,943.50/150,612.75 = 150,612.75/x
  3. Step 3: Cross multiply
    78,943.50x = 150,612.75 × 150,612.75
  4. Step 4: Simplify right side
    78,943.50x = 22,684,200,462.56
  5. Step 5: Solve for x
    x = 22,684,200,462.56/78,943.50
  6. Step 6: Final answer
    x = 287,347.29

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These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.