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Finding the Third Proportional to 69,279.75 and 107,484.75

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Solution

The third proportional to 69,279.75 and 107,484.75 is: 166,758.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,279.75 : 107,484.75 = 107,484.75 : x
  2. Step 2: Convert to fraction form
    69,279.75/107,484.75 = 107,484.75/x
  3. Step 3: Cross multiply
    69,279.75x = 107,484.75 × 107,484.75
  4. Step 4: Simplify right side
    69,279.75x = 11,552,971,482.56
  5. Step 5: Solve for x
    x = 11,552,971,482.56/69,279.75
  6. Step 6: Final answer
    x = 166,758.27

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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.