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Finding the Third Proportional to 121,846 and 181,758

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Solution

The third proportional to 121,846 and 181,758 is: 271,128.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,846 : 181,758 = 181,758 : x
  2. Step 2: Convert to fraction form
    121,846/181,758 = 181,758/x
  3. Step 3: Cross multiply
    121,846x = 181,758 × 181,758
  4. Step 4: Simplify right side
    121,846x = 33,035,970,564
  5. Step 5: Solve for x
    x = 33,035,970,564/121,846
  6. Step 6: Final answer
    x = 271,128.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.