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Finding the Third Proportional to 117,471.75 and 176,727.75

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Solution

The third proportional to 117,471.75 and 176,727.75 is: 265,874.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,471.75 : 176,727.75 = 176,727.75 : x
  2. Step 2: Convert to fraction form
    117,471.75/176,727.75 = 176,727.75/x
  3. Step 3: Cross multiply
    117,471.75x = 176,727.75 × 176,727.75
  4. Step 4: Simplify right side
    117,471.75x = 31,232,697,620.06
  5. Step 5: Solve for x
    x = 31,232,697,620.06/117,471.75
  6. Step 6: Final answer
    x = 265,874.12

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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.