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Finding the Third Proportional to 53,337 and 123,479

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Solution

The third proportional to 53,337 and 123,479 is: 285,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,337 : 123,479 = 123,479 : x
  2. Step 2: Convert to fraction form
    53,337/123,479 = 123,479/x
  3. Step 3: Cross multiply
    53,337x = 123,479 × 123,479
  4. Step 4: Simplify right side
    53,337x = 15,247,063,441
  5. Step 5: Solve for x
    x = 15,247,063,441/53,337
  6. Step 6: Final answer
    x = 285,862.79

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.