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Finding the Third Proportional to 121,046 and 188,199

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Solution

The third proportional to 121,046 and 188,199 is: 292,606.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,046 : 188,199 = 188,199 : x
  2. Step 2: Convert to fraction form
    121,046/188,199 = 188,199/x
  3. Step 3: Cross multiply
    121,046x = 188,199 × 188,199
  4. Step 4: Simplify right side
    121,046x = 35,418,863,601
  5. Step 5: Solve for x
    x = 35,418,863,601/121,046
  6. Step 6: Final answer
    x = 292,606.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.