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Finding the Third Proportional to 112,642 and 241,924

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Solution

The third proportional to 112,642 and 241,924 is: 519,586.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,642 : 241,924 = 241,924 : x
  2. Step 2: Convert to fraction form
    112,642/241,924 = 241,924/x
  3. Step 3: Cross multiply
    112,642x = 241,924 × 241,924
  4. Step 4: Simplify right side
    112,642x = 58,527,221,776
  5. Step 5: Solve for x
    x = 58,527,221,776/112,642
  6. Step 6: Final answer
    x = 519,586.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.