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Finding the Third Proportional to 89.12 and 130.61

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Solution

The third proportional to 89.12 and 130.61 is: 191.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.12 : 130.61 = 130.61 : x
  2. Step 2: Convert to fraction form
    89.12/130.61 = 130.61/x
  3. Step 3: Cross multiply
    89.12x = 130.61 × 130.61
  4. Step 4: Simplify right side
    89.12x = 17,057.79
  5. Step 5: Solve for x
    x = 17,057.79/89.12
  6. Step 6: Final answer
    x = 191.40

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.