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Finding the Third Proportional to 70.83 and 148.83

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Solution

The third proportional to 70.83 and 148.83 is: 312.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.83 : 148.83 = 148.83 : x
  2. Step 2: Convert to fraction form
    70.83/148.83 = 148.83/x
  3. Step 3: Cross multiply
    70.83x = 148.83 × 148.83
  4. Step 4: Simplify right side
    70.83x = 22,149.81
  5. Step 5: Solve for x
    x = 22,149.81/70.83
  6. Step 6: Final answer
    x = 312.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.