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Finding the Third Proportional to 48,732 and 106,771

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Solution

The third proportional to 48,732 and 106,771 is: 233,933.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,732 : 106,771 = 106,771 : x
  2. Step 2: Convert to fraction form
    48,732/106,771 = 106,771/x
  3. Step 3: Cross multiply
    48,732x = 106,771 × 106,771
  4. Step 4: Simplify right side
    48,732x = 11,400,046,441
  5. Step 5: Solve for x
    x = 11,400,046,441/48,732
  6. Step 6: Final answer
    x = 233,933.48

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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.