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Finding the Third Proportional to 109,216 and 173,660

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Solution

The third proportional to 109,216 and 173,660 is: 276,129.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,216 : 173,660 = 173,660 : x
  2. Step 2: Convert to fraction form
    109,216/173,660 = 173,660/x
  3. Step 3: Cross multiply
    109,216x = 173,660 × 173,660
  4. Step 4: Simplify right side
    109,216x = 30,157,795,600
  5. Step 5: Solve for x
    x = 30,157,795,600/109,216
  6. Step 6: Final answer
    x = 276,129.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.