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Finding the Third Proportional to 51,309.07 and 76,758.57

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Solution

The third proportional to 51,309.07 and 76,758.57 is: 114,831.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309.07 : 76,758.57 = 76,758.57 : x
  2. Step 2: Convert to fraction form
    51,309.07/76,758.57 = 76,758.57/x
  3. Step 3: Cross multiply
    51,309.07x = 76,758.57 × 76,758.57
  4. Step 4: Simplify right side
    51,309.07x = 5,891,878,716.10
  5. Step 5: Solve for x
    x = 5,891,878,716.10/51,309.07
  6. Step 6: Final answer
    x = 114,831.13

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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.