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Finding the Third Proportional to 121,340 and 187,194

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Solution

The third proportional to 121,340 and 187,194 is: 288,788.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,340 : 187,194 = 187,194 : x
  2. Step 2: Convert to fraction form
    121,340/187,194 = 187,194/x
  3. Step 3: Cross multiply
    121,340x = 187,194 × 187,194
  4. Step 4: Simplify right side
    121,340x = 35,041,593,636
  5. Step 5: Solve for x
    x = 35,041,593,636/121,340
  6. Step 6: Final answer
    x = 288,788.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.