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Finding the Third Proportional to 121,793 and 265,661

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Solution

The third proportional to 121,793 and 265,661 is: 579,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,793 : 265,661 = 265,661 : x
  2. Step 2: Convert to fraction form
    121,793/265,661 = 265,661/x
  3. Step 3: Cross multiply
    121,793x = 265,661 × 265,661
  4. Step 4: Simplify right side
    121,793x = 70,575,766,921
  5. Step 5: Solve for x
    x = 70,575,766,921/121,793
  6. Step 6: Final answer
    x = 579,473.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.