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Finding the Third Proportional to 56.63 and 99.56

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Solution

The third proportional to 56.63 and 99.56 is: 175.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.63 : 99.56 = 99.56 : x
  2. Step 2: Convert to fraction form
    56.63/99.56 = 99.56/x
  3. Step 3: Cross multiply
    56.63x = 99.56 × 99.56
  4. Step 4: Simplify right side
    56.63x = 9,912.69
  5. Step 5: Solve for x
    x = 9,912.69/56.63
  6. Step 6: Final answer
    x = 175.06

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.