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Finding the Third Proportional to 109,933 and 164,251

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Solution

The third proportional to 109,933 and 164,251 is: 245,407.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,933 : 164,251 = 164,251 : x
  2. Step 2: Convert to fraction form
    109,933/164,251 = 164,251/x
  3. Step 3: Cross multiply
    109,933x = 164,251 × 164,251
  4. Step 4: Simplify right side
    109,933x = 26,978,391,001
  5. Step 5: Solve for x
    x = 26,978,391,001/109,933
  6. Step 6: Final answer
    x = 245,407.58

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.