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Finding the Third Proportional to 116.06 and 123.56

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Solution

The third proportional to 116.06 and 123.56 is: 131.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.06 : 123.56 = 123.56 : x
  2. Step 2: Convert to fraction form
    116.06/123.56 = 123.56/x
  3. Step 3: Cross multiply
    116.06x = 123.56 × 123.56
  4. Step 4: Simplify right side
    116.06x = 15,267.69
  5. Step 5: Solve for x
    x = 15,267.69/116.06
  6. Step 6: Final answer
    x = 131.55

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.