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Finding the Third Proportional to 70,949.81 and 109,867.22

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Solution

The third proportional to 70,949.81 and 109,867.22 is: 170,131.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,949.81 : 109,867.22 = 109,867.22 : x
  2. Step 2: Convert to fraction form
    70,949.81/109,867.22 = 109,867.22/x
  3. Step 3: Cross multiply
    70,949.81x = 109,867.22 × 109,867.22
  4. Step 4: Simplify right side
    70,949.81x = 12,070,805,755.86
  5. Step 5: Solve for x
    x = 12,070,805,755.86/70,949.81
  6. Step 6: Final answer
    x = 170,131.61

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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.