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Finding the Third Proportional to 70,540.88 and 109,270.69

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Solution

The third proportional to 70,540.88 and 109,270.69 is: 169,264.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,540.88 : 109,270.69 = 109,270.69 : x
  2. Step 2: Convert to fraction form
    70,540.88/109,270.69 = 109,270.69/x
  3. Step 3: Cross multiply
    70,540.88x = 109,270.69 × 109,270.69
  4. Step 4: Simplify right side
    70,540.88x = 11,940,083,146.72
  5. Step 5: Solve for x
    x = 11,940,083,146.72/70,540.88
  6. Step 6: Final answer
    x = 169,264.74

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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.