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Finding the Third Proportional to 69,346.13 and 141,744.94

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Solution

The third proportional to 69,346.13 and 141,744.94 is: 289,729.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,346.13 : 141,744.94 = 141,744.94 : x
  2. Step 2: Convert to fraction form
    69,346.13/141,744.94 = 141,744.94/x
  3. Step 3: Cross multiply
    69,346.13x = 141,744.94 × 141,744.94
  4. Step 4: Simplify right side
    69,346.13x = 20,091,627,306.88
  5. Step 5: Solve for x
    x = 20,091,627,306.88/69,346.13
  6. Step 6: Final answer
    x = 289,729.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.