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Finding the Third Proportional to 109,242 and 164,865

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Solution

The third proportional to 109,242 and 164,865 is: 248,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,242 : 164,865 = 164,865 : x
  2. Step 2: Convert to fraction form
    109,242/164,865 = 164,865/x
  3. Step 3: Cross multiply
    109,242x = 164,865 × 164,865
  4. Step 4: Simplify right side
    109,242x = 27,180,468,225
  5. Step 5: Solve for x
    x = 27,180,468,225/109,242
  6. Step 6: Final answer
    x = 248,809.69

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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.