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Finding the Third Proportional to 71,166.94 and 152,884.13

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Solution

The third proportional to 71,166.94 and 152,884.13 is: 328,432.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,166.94 : 152,884.13 = 152,884.13 : x
  2. Step 2: Convert to fraction form
    71,166.94/152,884.13 = 152,884.13/x
  3. Step 3: Cross multiply
    71,166.94x = 152,884.13 × 152,884.13
  4. Step 4: Simplify right side
    71,166.94x = 23,373,555,677.02
  5. Step 5: Solve for x
    x = 23,373,555,677.02/71,166.94
  6. Step 6: Final answer
    x = 328,432.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.