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Finding the Third Proportional to 80,520 and 109,344

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Solution

The third proportional to 80,520 and 109,344 is: 148,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,520 : 109,344 = 109,344 : x
  2. Step 2: Convert to fraction form
    80,520/109,344 = 109,344/x
  3. Step 3: Cross multiply
    80,520x = 109,344 × 109,344
  4. Step 4: Simplify right side
    80,520x = 11,956,110,336
  5. Step 5: Solve for x
    x = 11,956,110,336/80,520
  6. Step 6: Final answer
    x = 148,486.22

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.