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Finding the Third Proportional to 53,227.50 and 115,452

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Solution

The third proportional to 53,227.50 and 115,452 is: 250,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,227.50 : 115,452 = 115,452 : x
  2. Step 2: Convert to fraction form
    53,227.50/115,452 = 115,452/x
  3. Step 3: Cross multiply
    53,227.50x = 115,452 × 115,452
  4. Step 4: Simplify right side
    53,227.50x = 13,329,164,304
  5. Step 5: Solve for x
    x = 13,329,164,304/53,227.50
  6. Step 6: Final answer
    x = 250,418.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.