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Finding the Third Proportional to 70.13 and 93.69

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Solution

The third proportional to 70.13 and 93.69 is: 125.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.13 : 93.69 = 93.69 : x
  2. Step 2: Convert to fraction form
    70.13/93.69 = 93.69/x
  3. Step 3: Cross multiply
    70.13x = 93.69 × 93.69
  4. Step 4: Simplify right side
    70.13x = 8,777.35
  5. Step 5: Solve for x
    x = 8,777.35/70.13
  6. Step 6: Final answer
    x = 125.17

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.