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Finding the Third Proportional to 55,722 and 117,276

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Solution

The third proportional to 55,722 and 117,276 is: 246,826.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,722 : 117,276 = 117,276 : x
  2. Step 2: Convert to fraction form
    55,722/117,276 = 117,276/x
  3. Step 3: Cross multiply
    55,722x = 117,276 × 117,276
  4. Step 4: Simplify right side
    55,722x = 13,753,660,176
  5. Step 5: Solve for x
    x = 13,753,660,176/55,722
  6. Step 6: Final answer
    x = 246,826.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.