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Finding the Third Proportional to 116,963 and 275,924

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Solution

The third proportional to 116,963 and 275,924 is: 650,924.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,963 : 275,924 = 275,924 : x
  2. Step 2: Convert to fraction form
    116,963/275,924 = 275,924/x
  3. Step 3: Cross multiply
    116,963x = 275,924 × 275,924
  4. Step 4: Simplify right side
    116,963x = 76,134,053,776
  5. Step 5: Solve for x
    x = 76,134,053,776/116,963
  6. Step 6: Final answer
    x = 650,924.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.