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Finding the Third Proportional to 76,126 and 121,233

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Solution

The third proportional to 76,126 and 121,233 is: 193,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,126 : 121,233 = 121,233 : x
  2. Step 2: Convert to fraction form
    76,126/121,233 = 121,233/x
  3. Step 3: Cross multiply
    76,126x = 121,233 × 121,233
  4. Step 4: Simplify right side
    76,126x = 14,697,440,289
  5. Step 5: Solve for x
    x = 14,697,440,289/76,126
  6. Step 6: Final answer
    x = 193,067.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.