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Finding the Third Proportional to 52,888.50 and 111,231

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Solution

The third proportional to 52,888.50 and 111,231 is: 233,932.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,888.50 : 111,231 = 111,231 : x
  2. Step 2: Convert to fraction form
    52,888.50/111,231 = 111,231/x
  3. Step 3: Cross multiply
    52,888.50x = 111,231 × 111,231
  4. Step 4: Simplify right side
    52,888.50x = 12,372,335,361
  5. Step 5: Solve for x
    x = 12,372,335,361/52,888.50
  6. Step 6: Final answer
    x = 233,932.43

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.