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Finding the Third Proportional to 97,799.91 and 129,169.69

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Solution

The third proportional to 97,799.91 and 129,169.69 is: 170,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,799.91 : 129,169.69 = 129,169.69 : x
  2. Step 2: Convert to fraction form
    97,799.91/129,169.69 = 129,169.69/x
  3. Step 3: Cross multiply
    97,799.91x = 129,169.69 × 129,169.69
  4. Step 4: Simplify right side
    97,799.91x = 16,684,808,168.85
  5. Step 5: Solve for x
    x = 16,684,808,168.85/97,799.91
  6. Step 6: Final answer
    x = 170,601.47

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.