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Finding the Third Proportional to 83,737.50 and 180,594

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Solution

The third proportional to 83,737.50 and 180,594 is: 389,481.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,737.50 : 180,594 = 180,594 : x
  2. Step 2: Convert to fraction form
    83,737.50/180,594 = 180,594/x
  3. Step 3: Cross multiply
    83,737.50x = 180,594 × 180,594
  4. Step 4: Simplify right side
    83,737.50x = 32,614,192,836
  5. Step 5: Solve for x
    x = 32,614,192,836/83,737.50
  6. Step 6: Final answer
    x = 389,481.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.