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Finding the Third Proportional to 103,387.50 and 159,576.75

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Solution

The third proportional to 103,387.50 and 159,576.75 is: 246,303.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,387.50 : 159,576.75 = 159,576.75 : x
  2. Step 2: Convert to fraction form
    103,387.50/159,576.75 = 159,576.75/x
  3. Step 3: Cross multiply
    103,387.50x = 159,576.75 × 159,576.75
  4. Step 4: Simplify right side
    103,387.50x = 25,464,739,140.56
  5. Step 5: Solve for x
    x = 25,464,739,140.56/103,387.50
  6. Step 6: Final answer
    x = 246,303.85

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Why These Related Problems?

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