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Finding the Third Proportional to 109,197 and 164,565

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Solution

The third proportional to 109,197 and 164,565 is: 248,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,197 : 164,565 = 164,565 : x
  2. Step 2: Convert to fraction form
    109,197/164,565 = 164,565/x
  3. Step 3: Cross multiply
    109,197x = 164,565 × 164,565
  4. Step 4: Simplify right side
    109,197x = 27,081,639,225
  5. Step 5: Solve for x
    x = 27,081,639,225/109,197
  6. Step 6: Final answer
    x = 248,007.17

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Why These Related Problems?

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