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Finding the Third Proportional to 53,321 and 123,439

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Solution

The third proportional to 53,321 and 123,439 is: 285,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,321 : 123,439 = 123,439 : x
  2. Step 2: Convert to fraction form
    53,321/123,439 = 123,439/x
  3. Step 3: Cross multiply
    53,321x = 123,439 × 123,439
  4. Step 4: Simplify right side
    53,321x = 15,237,186,721
  5. Step 5: Solve for x
    x = 15,237,186,721/53,321
  6. Step 6: Final answer
    x = 285,763.33

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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.