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Finding the Third Proportional to 109,269.50 and 164,908

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Solution

The third proportional to 109,269.50 and 164,908 is: 248,876.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,269.50 : 164,908 = 164,908 : x
  2. Step 2: Convert to fraction form
    109,269.50/164,908 = 164,908/x
  3. Step 3: Cross multiply
    109,269.50x = 164,908 × 164,908
  4. Step 4: Simplify right side
    109,269.50x = 27,194,648,464
  5. Step 5: Solve for x
    x = 27,194,648,464/109,269.50
  6. Step 6: Final answer
    x = 248,876.85

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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.