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Finding the Third Proportional to 53,449 and 115,456

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Solution

The third proportional to 53,449 and 115,456 is: 249,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,449 : 115,456 = 115,456 : x
  2. Step 2: Convert to fraction form
    53,449/115,456 = 115,456/x
  3. Step 3: Cross multiply
    53,449x = 115,456 × 115,456
  4. Step 4: Simplify right side
    53,449x = 13,330,087,936
  5. Step 5: Solve for x
    x = 13,330,087,936/53,449
  6. Step 6: Final answer
    x = 249,398.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.