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Finding the Third Proportional to 71,137.50 and 106,521

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Solution

The third proportional to 71,137.50 and 106,521 is: 159,504.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,137.50 : 106,521 = 106,521 : x
  2. Step 2: Convert to fraction form
    71,137.50/106,521 = 106,521/x
  3. Step 3: Cross multiply
    71,137.50x = 106,521 × 106,521
  4. Step 4: Simplify right side
    71,137.50x = 11,346,723,441
  5. Step 5: Solve for x
    x = 11,346,723,441/71,137.50
  6. Step 6: Final answer
    x = 159,504.11

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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.