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Finding the Third Proportional to 120,971 and 188,081

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Solution

The third proportional to 120,971 and 188,081 is: 292,421.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,971 : 188,081 = 188,081 : x
  2. Step 2: Convert to fraction form
    120,971/188,081 = 188,081/x
  3. Step 3: Cross multiply
    120,971x = 188,081 × 188,081
  4. Step 4: Simplify right side
    120,971x = 35,374,462,561
  5. Step 5: Solve for x
    x = 35,374,462,561/120,971
  6. Step 6: Final answer
    x = 292,421.01

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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.