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Finding the Third Proportional to 110,540 and 170,206

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Solution

The third proportional to 110,540 and 170,206 is: 262,077.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,540 : 170,206 = 170,206 : x
  2. Step 2: Convert to fraction form
    110,540/170,206 = 170,206/x
  3. Step 3: Cross multiply
    110,540x = 170,206 × 170,206
  4. Step 4: Simplify right side
    110,540x = 28,970,082,436
  5. Step 5: Solve for x
    x = 28,970,082,436/110,540
  6. Step 6: Final answer
    x = 262,077.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.