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Finding the Third Proportional to 48,738 and 106,782

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Solution

The third proportional to 48,738 and 106,782 is: 233,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,738 : 106,782 = 106,782 : x
  2. Step 2: Convert to fraction form
    48,738/106,782 = 106,782/x
  3. Step 3: Cross multiply
    48,738x = 106,782 × 106,782
  4. Step 4: Simplify right side
    48,738x = 11,402,395,524
  5. Step 5: Solve for x
    x = 11,402,395,524/48,738
  6. Step 6: Final answer
    x = 233,952.88

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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.