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Finding the Third Proportional to 110,970 and 169,221

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Solution

The third proportional to 110,970 and 169,221 is: 258,049.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,970 : 169,221 = 169,221 : x
  2. Step 2: Convert to fraction form
    110,970/169,221 = 169,221/x
  3. Step 3: Cross multiply
    110,970x = 169,221 × 169,221
  4. Step 4: Simplify right side
    110,970x = 28,635,746,841
  5. Step 5: Solve for x
    x = 28,635,746,841/110,970
  6. Step 6: Final answer
    x = 258,049.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.