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Finding the Third Proportional to 121,411 and 183,811

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Solution

The third proportional to 121,411 and 183,811 is: 278,281.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,411 : 183,811 = 183,811 : x
  2. Step 2: Convert to fraction form
    121,411/183,811 = 183,811/x
  3. Step 3: Cross multiply
    121,411x = 183,811 × 183,811
  4. Step 4: Simplify right side
    121,411x = 33,786,483,721
  5. Step 5: Solve for x
    x = 33,786,483,721/121,411
  6. Step 6: Final answer
    x = 278,281.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.