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Finding the Third Proportional to 75,850.17 and 109,258.88

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Solution

The third proportional to 75,850.17 and 109,258.88 is: 157,382.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850.17 : 109,258.88 = 109,258.88 : x
  2. Step 2: Convert to fraction form
    75,850.17/109,258.88 = 109,258.88/x
  3. Step 3: Cross multiply
    75,850.17x = 109,258.88 × 109,258.88
  4. Step 4: Simplify right side
    75,850.17x = 11,937,501,766.27
  5. Step 5: Solve for x
    x = 11,937,501,766.27/75,850.17
  6. Step 6: Final answer
    x = 157,382.66

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.