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Finding the Third Proportional to 71,323.88 and 110,382.75

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Solution

The third proportional to 71,323.88 and 110,382.75 is: 170,831.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,323.88 : 110,382.75 = 110,382.75 : x
  2. Step 2: Convert to fraction form
    71,323.88/110,382.75 = 110,382.75/x
  3. Step 3: Cross multiply
    71,323.88x = 110,382.75 × 110,382.75
  4. Step 4: Simplify right side
    71,323.88x = 12,184,351,497.56
  5. Step 5: Solve for x
    x = 12,184,351,497.56/71,323.88
  6. Step 6: Final answer
    x = 170,831.32

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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.