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Finding the Third Proportional to 109,220 and 173,666

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Solution

The third proportional to 109,220 and 173,666 is: 276,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,220 : 173,666 = 173,666 : x
  2. Step 2: Convert to fraction form
    109,220/173,666 = 173,666/x
  3. Step 3: Cross multiply
    109,220x = 173,666 × 173,666
  4. Step 4: Simplify right side
    109,220x = 30,159,879,556
  5. Step 5: Solve for x
    x = 30,159,879,556/109,220
  6. Step 6: Final answer
    x = 276,138.80

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