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Finding the Third Proportional to 121,377 and 247,574

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Solution

The third proportional to 121,377 and 247,574 is: 504,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,377 : 247,574 = 247,574 : x
  2. Step 2: Convert to fraction form
    121,377/247,574 = 247,574/x
  3. Step 3: Cross multiply
    121,377x = 247,574 × 247,574
  4. Step 4: Simplify right side
    121,377x = 61,292,885,476
  5. Step 5: Solve for x
    x = 61,292,885,476/121,377
  6. Step 6: Final answer
    x = 504,979.41

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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.