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Finding the Third Proportional to 52,816 and 117,439

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Solution

The third proportional to 52,816 and 117,439 is: 261,131.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,816 : 117,439 = 117,439 : x
  2. Step 2: Convert to fraction form
    52,816/117,439 = 117,439/x
  3. Step 3: Cross multiply
    52,816x = 117,439 × 117,439
  4. Step 4: Simplify right side
    52,816x = 13,791,918,721
  5. Step 5: Solve for x
    x = 13,791,918,721/52,816
  6. Step 6: Final answer
    x = 261,131.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.