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Finding the Third Proportional to 49,740 and 106,842

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Solution

The third proportional to 49,740 and 106,842 is: 229,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,740 : 106,842 = 106,842 : x
  2. Step 2: Convert to fraction form
    49,740/106,842 = 106,842/x
  3. Step 3: Cross multiply
    49,740x = 106,842 × 106,842
  4. Step 4: Simplify right side
    49,740x = 11,415,212,964
  5. Step 5: Solve for x
    x = 11,415,212,964/49,740
  6. Step 6: Final answer
    x = 229,497.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.