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Finding the Third Proportional to 52,524 and 115,252.50

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Solution

The third proportional to 52,524 and 115,252.50 is: 252,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,524 : 115,252.50 = 115,252.50 : x
  2. Step 2: Convert to fraction form
    52,524/115,252.50 = 115,252.50/x
  3. Step 3: Cross multiply
    52,524x = 115,252.50 × 115,252.50
  4. Step 4: Simplify right side
    52,524x = 13,283,138,756.25
  5. Step 5: Solve for x
    x = 13,283,138,756.25/52,524
  6. Step 6: Final answer
    x = 252,896.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.