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Finding the Third Proportional to 75,709.69 and 113,746.78

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Solution

The third proportional to 75,709.69 and 113,746.78 is: 170,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,709.69 : 113,746.78 = 113,746.78 : x
  2. Step 2: Convert to fraction form
    75,709.69/113,746.78 = 113,746.78/x
  3. Step 3: Cross multiply
    75,709.69x = 113,746.78 × 113,746.78
  4. Step 4: Simplify right side
    75,709.69x = 12,938,330,244.74
  5. Step 5: Solve for x
    x = 12,938,330,244.74/75,709.69
  6. Step 6: Final answer
    x = 170,893.99

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