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Finding the Third Proportional to 52,896.38 and 110,166.75

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Solution

The third proportional to 52,896.38 and 110,166.75 is: 229,443.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,896.38 : 110,166.75 = 110,166.75 : x
  2. Step 2: Convert to fraction form
    52,896.38/110,166.75 = 110,166.75/x
  3. Step 3: Cross multiply
    52,896.38x = 110,166.75 × 110,166.75
  4. Step 4: Simplify right side
    52,896.38x = 12,136,712,805.56
  5. Step 5: Solve for x
    x = 12,136,712,805.56/52,896.38
  6. Step 6: Final answer
    x = 229,443.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.