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Finding the Third Proportional to 77,122 and 113,251

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Solution

The third proportional to 77,122 and 113,251 is: 166,305.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,122 : 113,251 = 113,251 : x
  2. Step 2: Convert to fraction form
    77,122/113,251 = 113,251/x
  3. Step 3: Cross multiply
    77,122x = 113,251 × 113,251
  4. Step 4: Simplify right side
    77,122x = 12,825,789,001
  5. Step 5: Solve for x
    x = 12,825,789,001/77,122
  6. Step 6: Final answer
    x = 166,305.19

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.