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Finding the Third Proportional to 49,657 and 117,122

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Solution

The third proportional to 49,657 and 117,122 is: 276,246.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,657 : 117,122 = 117,122 : x
  2. Step 2: Convert to fraction form
    49,657/117,122 = 117,122/x
  3. Step 3: Cross multiply
    49,657x = 117,122 × 117,122
  4. Step 4: Simplify right side
    49,657x = 13,717,562,884
  5. Step 5: Solve for x
    x = 13,717,562,884/49,657
  6. Step 6: Final answer
    x = 276,246.31

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.