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Finding the Third Proportional to 48,383 and 73,301

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Solution

The third proportional to 48,383 and 73,301 is: 111,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,383 : 73,301 = 73,301 : x
  2. Step 2: Convert to fraction form
    48,383/73,301 = 73,301/x
  3. Step 3: Cross multiply
    48,383x = 73,301 × 73,301
  4. Step 4: Simplify right side
    48,383x = 5,373,036,601
  5. Step 5: Solve for x
    x = 5,373,036,601/48,383
  6. Step 6: Final answer
    x = 111,052.16

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.