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Finding the Third Proportional to 52,383 and 113,134

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Solution

The third proportional to 52,383 and 113,134 is: 244,340.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,383 : 113,134 = 113,134 : x
  2. Step 2: Convert to fraction form
    52,383/113,134 = 113,134/x
  3. Step 3: Cross multiply
    52,383x = 113,134 × 113,134
  4. Step 4: Simplify right side
    52,383x = 12,799,301,956
  5. Step 5: Solve for x
    x = 12,799,301,956/52,383
  6. Step 6: Final answer
    x = 244,340.76

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.