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Finding the Third Proportional to 56.91 and 88.92

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Solution

The third proportional to 56.91 and 88.92 is: 138.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.91 : 88.92 = 88.92 : x
  2. Step 2: Convert to fraction form
    56.91/88.92 = 88.92/x
  3. Step 3: Cross multiply
    56.91x = 88.92 × 88.92
  4. Step 4: Simplify right side
    56.91x = 7,907.10
  5. Step 5: Solve for x
    x = 7,907.10/56.91
  6. Step 6: Final answer
    x = 138.95

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.