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Finding the Third Proportional to 74,084 and 114,744

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Solution

The third proportional to 74,084 and 114,744 is: 177,719.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,084 : 114,744 = 114,744 : x
  2. Step 2: Convert to fraction form
    74,084/114,744 = 114,744/x
  3. Step 3: Cross multiply
    74,084x = 114,744 × 114,744
  4. Step 4: Simplify right side
    74,084x = 13,166,185,536
  5. Step 5: Solve for x
    x = 13,166,185,536/74,084
  6. Step 6: Final answer
    x = 177,719.69

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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.