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Finding the Third Proportional to 83,025.50 and 180,163

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Solution

The third proportional to 83,025.50 and 180,163 is: 390,948.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,025.50 : 180,163 = 180,163 : x
  2. Step 2: Convert to fraction form
    83,025.50/180,163 = 180,163/x
  3. Step 3: Cross multiply
    83,025.50x = 180,163 × 180,163
  4. Step 4: Simplify right side
    83,025.50x = 32,458,706,569
  5. Step 5: Solve for x
    x = 32,458,706,569/83,025.50
  6. Step 6: Final answer
    x = 390,948.64

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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.