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Finding the Third Proportional to 110,382.75 and 174,857.06

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Solution

The third proportional to 110,382.75 and 174,857.06 is: 276,990.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,382.75 : 174,857.06 = 174,857.06 : x
  2. Step 2: Convert to fraction form
    110,382.75/174,857.06 = 174,857.06/x
  3. Step 3: Cross multiply
    110,382.75x = 174,857.06 × 174,857.06
  4. Step 4: Simplify right side
    110,382.75x = 30,574,992,306.13
  5. Step 5: Solve for x
    x = 30,574,992,306.13/110,382.75
  6. Step 6: Final answer
    x = 276,990.67

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.