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Finding the Third Proportional to 61,974 and 134,251

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Solution

The third proportional to 61,974 and 134,251 is: 290,820.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,974 : 134,251 = 134,251 : x
  2. Step 2: Convert to fraction form
    61,974/134,251 = 134,251/x
  3. Step 3: Cross multiply
    61,974x = 134,251 × 134,251
  4. Step 4: Simplify right side
    61,974x = 18,023,331,001
  5. Step 5: Solve for x
    x = 18,023,331,001/61,974
  6. Step 6: Final answer
    x = 290,820.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.