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Finding the Third Proportional to 110,630 and 171,588

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Solution

The third proportional to 110,630 and 171,588 is: 266,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,630 : 171,588 = 171,588 : x
  2. Step 2: Convert to fraction form
    110,630/171,588 = 171,588/x
  3. Step 3: Cross multiply
    110,630x = 171,588 × 171,588
  4. Step 4: Simplify right side
    110,630x = 29,442,441,744
  5. Step 5: Solve for x
    x = 29,442,441,744/110,630
  6. Step 6: Final answer
    x = 266,134.34

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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.