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Finding the Third Proportional to 73,515.38 and 159,475.50

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Solution

The third proportional to 73,515.38 and 159,475.50 is: 345,947.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,515.38 : 159,475.50 = 159,475.50 : x
  2. Step 2: Convert to fraction form
    73,515.38/159,475.50 = 159,475.50/x
  3. Step 3: Cross multiply
    73,515.38x = 159,475.50 × 159,475.50
  4. Step 4: Simplify right side
    73,515.38x = 25,432,435,100.25
  5. Step 5: Solve for x
    x = 25,432,435,100.25/73,515.38
  6. Step 6: Final answer
    x = 345,947.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.