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Finding the Third Proportional to 132.56 and 149.06

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Solution

The third proportional to 132.56 and 149.06 is: 167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    132.56 : 149.06 = 149.06 : x
  2. Step 2: Convert to fraction form
    132.56/149.06 = 149.06/x
  3. Step 3: Cross multiply
    132.56x = 149.06 × 149.06
  4. Step 4: Simplify right side
    132.56x = 22,219.63
  5. Step 5: Solve for x
    x = 22,219.63/132.56
  6. Step 6: Final answer
    x = 167.62

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.