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Finding the Third Proportional to 48,745 and 106,304

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Solution

The third proportional to 48,745 and 106,304 is: 231,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,745 : 106,304 = 106,304 : x
  2. Step 2: Convert to fraction form
    48,745/106,304 = 106,304/x
  3. Step 3: Cross multiply
    48,745x = 106,304 × 106,304
  4. Step 4: Simplify right side
    48,745x = 11,300,540,416
  5. Step 5: Solve for x
    x = 11,300,540,416/48,745
  6. Step 6: Final answer
    x = 231,829.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.