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Finding the Third Proportional to 67,500.84 and 143,302.61

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Solution

The third proportional to 67,500.84 and 143,302.61 is: 304,227.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,500.84 : 143,302.61 = 143,302.61 : x
  2. Step 2: Convert to fraction form
    67,500.84/143,302.61 = 143,302.61/x
  3. Step 3: Cross multiply
    67,500.84x = 143,302.61 × 143,302.61
  4. Step 4: Simplify right side
    67,500.84x = 20,535,636,734.13
  5. Step 5: Solve for x
    x = 20,535,636,734.13/67,500.84
  6. Step 6: Final answer
    x = 304,227.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.