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Finding the Third Proportional to 121,418 and 247,652

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Solution

The third proportional to 121,418 and 247,652 is: 505,127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,418 : 247,652 = 247,652 : x
  2. Step 2: Convert to fraction form
    121,418/247,652 = 247,652/x
  3. Step 3: Cross multiply
    121,418x = 247,652 × 247,652
  4. Step 4: Simplify right side
    121,418x = 61,331,513,104
  5. Step 5: Solve for x
    x = 61,331,513,104/121,418
  6. Step 6: Final answer
    x = 505,127.02

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.