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Finding the Third Proportional to 104.77 and 153.70

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Solution

The third proportional to 104.77 and 153.70 is: 225.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.77 : 153.70 = 153.70 : x
  2. Step 2: Convert to fraction form
    104.77/153.70 = 153.70/x
  3. Step 3: Cross multiply
    104.77x = 153.70 × 153.70
  4. Step 4: Simplify right side
    104.77x = 23,624.65
  5. Step 5: Solve for x
    x = 23,624.65/104.77
  6. Step 6: Final answer
    x = 225.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.