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Finding the Third Proportional to 52,953.75 and 110,220.75

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Solution

The third proportional to 52,953.75 and 110,220.75 is: 229,419.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,953.75 : 110,220.75 = 110,220.75 : x
  2. Step 2: Convert to fraction form
    52,953.75/110,220.75 = 110,220.75/x
  3. Step 3: Cross multiply
    52,953.75x = 110,220.75 × 110,220.75
  4. Step 4: Simplify right side
    52,953.75x = 12,148,613,730.56
  5. Step 5: Solve for x
    x = 12,148,613,730.56/52,953.75
  6. Step 6: Final answer
    x = 229,419.33

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