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Finding the Third Proportional to 94,159.13 and 143,209.69

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Solution

The third proportional to 94,159.13 and 143,209.69 is: 217,812.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,159.13 : 143,209.69 = 143,209.69 : x
  2. Step 2: Convert to fraction form
    94,159.13/143,209.69 = 143,209.69/x
  3. Step 3: Cross multiply
    94,159.13x = 143,209.69 × 143,209.69
  4. Step 4: Simplify right side
    94,159.13x = 20,509,014,593.85
  5. Step 5: Solve for x
    x = 20,509,014,593.85/94,159.13
  6. Step 6: Final answer
    x = 217,812.29

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.