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Finding the Third Proportional to 95,509.13 and 129,249.84

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Solution

The third proportional to 95,509.13 and 129,249.84 is: 174,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,509.13 : 129,249.84 = 129,249.84 : x
  2. Step 2: Convert to fraction form
    95,509.13/129,249.84 = 129,249.84/x
  3. Step 3: Cross multiply
    95,509.13x = 129,249.84 × 129,249.84
  4. Step 4: Simplify right side
    95,509.13x = 16,705,522,109.40
  5. Step 5: Solve for x
    x = 16,705,522,109.40/95,509.13
  6. Step 6: Final answer
    x = 174,910.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.