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Finding the Third Proportional to 109,262 and 164,892

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Solution

The third proportional to 109,262 and 164,892 is: 248,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,262 : 164,892 = 164,892 : x
  2. Step 2: Convert to fraction form
    109,262/164,892 = 164,892/x
  3. Step 3: Cross multiply
    109,262x = 164,892 × 164,892
  4. Step 4: Simplify right side
    109,262x = 27,189,371,664
  5. Step 5: Solve for x
    x = 27,189,371,664/109,262
  6. Step 6: Final answer
    x = 248,845.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.