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Finding the Third Proportional to 121,998 and 259,548

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Solution

The third proportional to 121,998 and 259,548 is: 552,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,998 : 259,548 = 259,548 : x
  2. Step 2: Convert to fraction form
    121,998/259,548 = 259,548/x
  3. Step 3: Cross multiply
    121,998x = 259,548 × 259,548
  4. Step 4: Simplify right side
    121,998x = 67,365,164,304
  5. Step 5: Solve for x
    x = 67,365,164,304/121,998
  6. Step 6: Final answer
    x = 552,182.53

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.