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Finding the Third Proportional to 51,754 and 110,887

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Solution

The third proportional to 51,754 and 110,887 is: 237,584.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,754 : 110,887 = 110,887 : x
  2. Step 2: Convert to fraction form
    51,754/110,887 = 110,887/x
  3. Step 3: Cross multiply
    51,754x = 110,887 × 110,887
  4. Step 4: Simplify right side
    51,754x = 12,295,926,769
  5. Step 5: Solve for x
    x = 12,295,926,769/51,754
  6. Step 6: Final answer
    x = 237,584.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.