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Finding the Third Proportional to 110,626 and 171,582

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Solution

The third proportional to 110,626 and 171,582 is: 266,125.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,626 : 171,582 = 171,582 : x
  2. Step 2: Convert to fraction form
    110,626/171,582 = 171,582/x
  3. Step 3: Cross multiply
    110,626x = 171,582 × 171,582
  4. Step 4: Simplify right side
    110,626x = 29,440,382,724
  5. Step 5: Solve for x
    x = 29,440,382,724/110,626
  6. Step 6: Final answer
    x = 266,125.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.