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Finding the Third Proportional to 88.63 and 129.56

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Solution

The third proportional to 88.63 and 129.56 is: 189.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.63 : 129.56 = 129.56 : x
  2. Step 2: Convert to fraction form
    88.63/129.56 = 129.56/x
  3. Step 3: Cross multiply
    88.63x = 129.56 × 129.56
  4. Step 4: Simplify right side
    88.63x = 16,786.44
  5. Step 5: Solve for x
    x = 16,786.44/88.63
  6. Step 6: Final answer
    x = 189.41

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.