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Finding the Third Proportional to 69,832.13 and 121,591.13

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Solution

The third proportional to 69,832.13 and 121,591.13 is: 211,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,832.13 : 121,591.13 = 121,591.13 : x
  2. Step 2: Convert to fraction form
    69,832.13/121,591.13 = 121,591.13/x
  3. Step 3: Cross multiply
    69,832.13x = 121,591.13 × 121,591.13
  4. Step 4: Simplify right side
    69,832.13x = 14,784,401,678.77
  5. Step 5: Solve for x
    x = 14,784,401,678.77/69,832.13
  6. Step 6: Final answer
    x = 211,713.47

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.