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Finding the Third Proportional to 77,758.50 and 116,934.75

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Solution

The third proportional to 77,758.50 and 116,934.75 is: 175,848.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,758.50 : 116,934.75 = 116,934.75 : x
  2. Step 2: Convert to fraction form
    77,758.50/116,934.75 = 116,934.75/x
  3. Step 3: Cross multiply
    77,758.50x = 116,934.75 × 116,934.75
  4. Step 4: Simplify right side
    77,758.50x = 13,673,735,757.56
  5. Step 5: Solve for x
    x = 13,673,735,757.56/77,758.50
  6. Step 6: Final answer
    x = 175,848.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.