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Finding the Third Proportional to 110,436 and 170,058

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Solution

The third proportional to 110,436 and 170,058 is: 261,868.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,436 : 170,058 = 170,058 : x
  2. Step 2: Convert to fraction form
    110,436/170,058 = 170,058/x
  3. Step 3: Cross multiply
    110,436x = 170,058 × 170,058
  4. Step 4: Simplify right side
    110,436x = 28,919,723,364
  5. Step 5: Solve for x
    x = 28,919,723,364/110,436
  6. Step 6: Final answer
    x = 261,868.62

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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.