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Finding the Third Proportional to 72,217.50 and 108,549

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Solution

The third proportional to 72,217.50 and 108,549 is: 163,158.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,217.50 : 108,549 = 108,549 : x
  2. Step 2: Convert to fraction form
    72,217.50/108,549 = 108,549/x
  3. Step 3: Cross multiply
    72,217.50x = 108,549 × 108,549
  4. Step 4: Simplify right side
    72,217.50x = 11,782,885,401
  5. Step 5: Solve for x
    x = 11,782,885,401/72,217.50
  6. Step 6: Final answer
    x = 163,158.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.