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Finding the Third Proportional to 74,236.50 and 114,918.75

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Solution

The third proportional to 74,236.50 and 114,918.75 is: 177,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,236.50 : 114,918.75 = 114,918.75 : x
  2. Step 2: Convert to fraction form
    74,236.50/114,918.75 = 114,918.75/x
  3. Step 3: Cross multiply
    74,236.50x = 114,918.75 × 114,918.75
  4. Step 4: Simplify right side
    74,236.50x = 13,206,319,101.56
  5. Step 5: Solve for x
    x = 13,206,319,101.56/74,236.50
  6. Step 6: Final answer
    x = 177,895.23

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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.