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Finding the Third Proportional to 95,914.13 and 143,866.13

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Solution

The third proportional to 95,914.13 and 143,866.13 is: 215,791.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,914.13 : 143,866.13 = 143,866.13 : x
  2. Step 2: Convert to fraction form
    95,914.13/143,866.13 = 143,866.13/x
  3. Step 3: Cross multiply
    95,914.13x = 143,866.13 × 143,866.13
  4. Step 4: Simplify right side
    95,914.13x = 20,697,461,922.52
  5. Step 5: Solve for x
    x = 20,697,461,922.52/95,914.13
  6. Step 6: Final answer
    x = 215,791.59

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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.