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Finding the Third Proportional to 122,796 and 187,758

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Solution

The third proportional to 122,796 and 187,758 is: 287,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,796 : 187,758 = 187,758 : x
  2. Step 2: Convert to fraction form
    122,796/187,758 = 187,758/x
  3. Step 3: Cross multiply
    122,796x = 187,758 × 187,758
  4. Step 4: Simplify right side
    122,796x = 35,253,066,564
  5. Step 5: Solve for x
    x = 35,253,066,564/122,796
  6. Step 6: Final answer
    x = 287,086.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.