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Finding the Third Proportional to 74,659.50 and 115,769.25

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Solution

The third proportional to 74,659.50 and 115,769.25 is: 179,515.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,659.50 : 115,769.25 = 115,769.25 : x
  2. Step 2: Convert to fraction form
    74,659.50/115,769.25 = 115,769.25/x
  3. Step 3: Cross multiply
    74,659.50x = 115,769.25 × 115,769.25
  4. Step 4: Simplify right side
    74,659.50x = 13,402,519,245.56
  5. Step 5: Solve for x
    x = 13,402,519,245.56/74,659.50
  6. Step 6: Final answer
    x = 179,515.26

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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.