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Finding the Third Proportional to 75,723.94 and 117,580.78

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Solution

The third proportional to 75,723.94 and 117,580.78 is: 182,574.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,723.94 : 117,580.78 = 117,580.78 : x
  2. Step 2: Convert to fraction form
    75,723.94/117,580.78 = 117,580.78/x
  3. Step 3: Cross multiply
    75,723.94x = 117,580.78 × 117,580.78
  4. Step 4: Simplify right side
    75,723.94x = 13,825,240,119.36
  5. Step 5: Solve for x
    x = 13,825,240,119.36/75,723.94
  6. Step 6: Final answer
    x = 182,574.24

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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.