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Finding the Third Proportional to 73,909.50 and 158,889

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Solution

The third proportional to 73,909.50 and 158,889 is: 341,576.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,909.50 : 158,889 = 158,889 : x
  2. Step 2: Convert to fraction form
    73,909.50/158,889 = 158,889/x
  3. Step 3: Cross multiply
    73,909.50x = 158,889 × 158,889
  4. Step 4: Simplify right side
    73,909.50x = 25,245,714,321
  5. Step 5: Solve for x
    x = 25,245,714,321/73,909.50
  6. Step 6: Final answer
    x = 341,576.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.