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Finding the Third Proportional to 49,109 and 107,506

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Solution

The third proportional to 49,109 and 107,506 is: 235,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,109 : 107,506 = 107,506 : x
  2. Step 2: Convert to fraction form
    49,109/107,506 = 107,506/x
  3. Step 3: Cross multiply
    49,109x = 107,506 × 107,506
  4. Step 4: Simplify right side
    49,109x = 11,557,540,036
  5. Step 5: Solve for x
    x = 11,557,540,036/49,109
  6. Step 6: Final answer
    x = 235,344.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.