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Finding the Third Proportional to 70,494 and 109,320

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Solution

The third proportional to 70,494 and 109,320 is: 169,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494 : 109,320 = 109,320 : x
  2. Step 2: Convert to fraction form
    70,494/109,320 = 109,320/x
  3. Step 3: Cross multiply
    70,494x = 109,320 × 109,320
  4. Step 4: Simplify right side
    70,494x = 11,950,862,400
  5. Step 5: Solve for x
    x = 11,950,862,400/70,494
  6. Step 6: Final answer
    x = 169,530.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.