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Finding the Third Proportional to 121,990 and 259,532

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Solution

The third proportional to 121,990 and 259,532 is: 552,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,990 : 259,532 = 259,532 : x
  2. Step 2: Convert to fraction form
    121,990/259,532 = 259,532/x
  3. Step 3: Cross multiply
    121,990x = 259,532 × 259,532
  4. Step 4: Simplify right side
    121,990x = 67,356,859,024
  5. Step 5: Solve for x
    x = 67,356,859,024/121,990
  6. Step 6: Final answer
    x = 552,150.66

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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.