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Finding the Third Proportional to 121,188 and 258,873

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Solution

The third proportional to 121,188 and 258,873 is: 552,985.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,188 : 258,873 = 258,873 : x
  2. Step 2: Convert to fraction form
    121,188/258,873 = 258,873/x
  3. Step 3: Cross multiply
    121,188x = 258,873 × 258,873
  4. Step 4: Simplify right side
    121,188x = 67,015,230,129
  5. Step 5: Solve for x
    x = 67,015,230,129/121,188
  6. Step 6: Final answer
    x = 552,985.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.