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Finding the Third Proportional to 48,709 and 106,544

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Solution

The third proportional to 48,709 and 106,544 is: 233,049.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,709 : 106,544 = 106,544 : x
  2. Step 2: Convert to fraction form
    48,709/106,544 = 106,544/x
  3. Step 3: Cross multiply
    48,709x = 106,544 × 106,544
  4. Step 4: Simplify right side
    48,709x = 11,351,623,936
  5. Step 5: Solve for x
    x = 11,351,623,936/48,709
  6. Step 6: Final answer
    x = 233,049.83

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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.