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Finding the Third Proportional to 70.77 and 139.61

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Solution

The third proportional to 70.77 and 139.61 is: 275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.77 : 139.61 = 139.61 : x
  2. Step 2: Convert to fraction form
    70.77/139.61 = 139.61/x
  3. Step 3: Cross multiply
    70.77x = 139.61 × 139.61
  4. Step 4: Simplify right side
    70.77x = 19,489.69
  5. Step 5: Solve for x
    x = 19,489.69/70.77
  6. Step 6: Final answer
    x = 275.40

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.