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Finding the Third Proportional to 59.81 and 93.19

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Solution

The third proportional to 59.81 and 93.19 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.81 : 93.19 = 93.19 : x
  2. Step 2: Convert to fraction form
    59.81/93.19 = 93.19/x
  3. Step 3: Cross multiply
    59.81x = 93.19 × 93.19
  4. Step 4: Simplify right side
    59.81x = 8,683.91
  5. Step 5: Solve for x
    x = 8,683.91/59.81
  6. Step 6: Final answer
    x = 145.19

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.