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Finding the Third Proportional to 73,857.94 and 114,580.69

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Solution

The third proportional to 73,857.94 and 114,580.69 is: 177,756.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,857.94 : 114,580.69 = 114,580.69 : x
  2. Step 2: Convert to fraction form
    73,857.94/114,580.69 = 114,580.69/x
  3. Step 3: Cross multiply
    73,857.94x = 114,580.69 × 114,580.69
  4. Step 4: Simplify right side
    73,857.94x = 13,128,733,947.97
  5. Step 5: Solve for x
    x = 13,128,733,947.97/73,857.94
  6. Step 6: Final answer
    x = 177,756.57

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.