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Finding the Third Proportional to 59,359 and 125,338

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Solution

The third proportional to 59,359 and 125,338 is: 264,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,359 : 125,338 = 125,338 : x
  2. Step 2: Convert to fraction form
    59,359/125,338 = 125,338/x
  3. Step 3: Cross multiply
    59,359x = 125,338 × 125,338
  4. Step 4: Simplify right side
    59,359x = 15,709,614,244
  5. Step 5: Solve for x
    x = 15,709,614,244/59,359
  6. Step 6: Final answer
    x = 264,654.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.