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Finding the Third Proportional to 109,271 and 164,911

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Solution

The third proportional to 109,271 and 164,911 is: 248,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,271 : 164,911 = 164,911 : x
  2. Step 2: Convert to fraction form
    109,271/164,911 = 164,911/x
  3. Step 3: Cross multiply
    109,271x = 164,911 × 164,911
  4. Step 4: Simplify right side
    109,271x = 27,195,637,921
  5. Step 5: Solve for x
    x = 27,195,637,921/109,271
  6. Step 6: Final answer
    x = 248,882.48

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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.