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Finding the Third Proportional to 58,767 and 126,885

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Solution

The third proportional to 58,767 and 126,885 is: 273,959.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,767 : 126,885 = 126,885 : x
  2. Step 2: Convert to fraction form
    58,767/126,885 = 126,885/x
  3. Step 3: Cross multiply
    58,767x = 126,885 × 126,885
  4. Step 4: Simplify right side
    58,767x = 16,099,803,225
  5. Step 5: Solve for x
    x = 16,099,803,225/58,767
  6. Step 6: Final answer
    x = 273,959.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.