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Finding the Third Proportional to 52,403 and 107,233

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Solution

The third proportional to 52,403 and 107,233 is: 219,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,403 : 107,233 = 107,233 : x
  2. Step 2: Convert to fraction form
    52,403/107,233 = 107,233/x
  3. Step 3: Cross multiply
    52,403x = 107,233 × 107,233
  4. Step 4: Simplify right side
    52,403x = 11,498,916,289
  5. Step 5: Solve for x
    x = 11,498,916,289/52,403
  6. Step 6: Final answer
    x = 219,432.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.