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Finding the Third Proportional to 88.63 and 136.91

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Solution

The third proportional to 88.63 and 136.91 is: 211.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.63 : 136.91 = 136.91 : x
  2. Step 2: Convert to fraction form
    88.63/136.91 = 136.91/x
  3. Step 3: Cross multiply
    88.63x = 136.91 × 136.91
  4. Step 4: Simplify right side
    88.63x = 18,743.32
  5. Step 5: Solve for x
    x = 18,743.32/88.63
  6. Step 6: Final answer
    x = 211.49

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Why These Related Problems?

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