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Finding the Third Proportional to 77,708.25 and 116,081.44

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Solution

The third proportional to 77,708.25 and 116,081.44 is: 173,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,708.25 : 116,081.44 = 116,081.44 : x
  2. Step 2: Convert to fraction form
    77,708.25/116,081.44 = 116,081.44/x
  3. Step 3: Cross multiply
    77,708.25x = 116,081.44 × 116,081.44
  4. Step 4: Simplify right side
    77,708.25x = 13,474,900,132.07
  5. Step 5: Solve for x
    x = 13,474,900,132.07/77,708.25
  6. Step 6: Final answer
    x = 173,403.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.