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Finding the Third Proportional to 49,347 and 107,118

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Solution

The third proportional to 49,347 and 107,118 is: 232,522.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,347 : 107,118 = 107,118 : x
  2. Step 2: Convert to fraction form
    49,347/107,118 = 107,118/x
  3. Step 3: Cross multiply
    49,347x = 107,118 × 107,118
  4. Step 4: Simplify right side
    49,347x = 11,474,265,924
  5. Step 5: Solve for x
    x = 11,474,265,924/49,347
  6. Step 6: Final answer
    x = 232,522.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.