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Finding the Third Proportional to 70,692 and 109,314

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Solution

The third proportional to 70,692 and 109,314 is: 169,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,692 : 109,314 = 109,314 : x
  2. Step 2: Convert to fraction form
    70,692/109,314 = 109,314/x
  3. Step 3: Cross multiply
    70,692x = 109,314 × 109,314
  4. Step 4: Simplify right side
    70,692x = 11,949,550,596
  5. Step 5: Solve for x
    x = 11,949,550,596/70,692
  6. Step 6: Final answer
    x = 169,036.82

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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.