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Finding the Third Proportional to 59.81 and 92.06

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Solution

The third proportional to 59.81 and 92.06 is: 141.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.81 : 92.06 = 92.06 : x
  2. Step 2: Convert to fraction form
    59.81/92.06 = 92.06/x
  3. Step 3: Cross multiply
    59.81x = 92.06 × 92.06
  4. Step 4: Simplify right side
    59.81x = 8,475.50
  5. Step 5: Solve for x
    x = 8,475.50/59.81
  6. Step 6: Final answer
    x = 141.70

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.