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Finding the Third Proportional to 89.06 and 130.59

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Solution

The third proportional to 89.06 and 130.59 is: 191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.06 : 130.59 = 130.59 : x
  2. Step 2: Convert to fraction form
    89.06/130.59 = 130.59/x
  3. Step 3: Cross multiply
    89.06x = 130.59 × 130.59
  4. Step 4: Simplify right side
    89.06x = 17,054.73
  5. Step 5: Solve for x
    x = 17,054.73/89.06
  6. Step 6: Final answer
    x = 191.49

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Why These Related Problems?

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