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Finding the Third Proportional to 83,967.75 and 180,929.25

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Solution

The third proportional to 83,967.75 and 180,929.25 is: 389,856.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,967.75 : 180,929.25 = 180,929.25 : x
  2. Step 2: Convert to fraction form
    83,967.75/180,929.25 = 180,929.25/x
  3. Step 3: Cross multiply
    83,967.75x = 180,929.25 × 180,929.25
  4. Step 4: Simplify right side
    83,967.75x = 32,735,393,505.56
  5. Step 5: Solve for x
    x = 32,735,393,505.56/83,967.75
  6. Step 6: Final answer
    x = 389,856.74

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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.