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Finding the Third Proportional to 121,407 and 183,804

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Solution

The third proportional to 121,407 and 183,804 is: 278,269.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,407 : 183,804 = 183,804 : x
  2. Step 2: Convert to fraction form
    121,407/183,804 = 183,804/x
  3. Step 3: Cross multiply
    121,407x = 183,804 × 183,804
  4. Step 4: Simplify right side
    121,407x = 33,783,910,416
  5. Step 5: Solve for x
    x = 33,783,910,416/121,407
  6. Step 6: Final answer
    x = 278,269.87

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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.