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Finding the Third Proportional to 70,505.44 and 109,224.56

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Solution

The third proportional to 70,505.44 and 109,224.56 is: 169,206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,505.44 : 109,224.56 = 109,224.56 : x
  2. Step 2: Convert to fraction form
    70,505.44/109,224.56 = 109,224.56/x
  3. Step 3: Cross multiply
    70,505.44x = 109,224.56 × 109,224.56
  4. Step 4: Simplify right side
    70,505.44x = 11,930,005,053.32
  5. Step 5: Solve for x
    x = 11,930,005,053.32/70,505.44
  6. Step 6: Final answer
    x = 169,206.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.