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Finding the Third Proportional to 130.53 and 183.59

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Solution

The third proportional to 130.53 and 183.59 is: 258.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.53 : 183.59 = 183.59 : x
  2. Step 2: Convert to fraction form
    130.53/183.59 = 183.59/x
  3. Step 3: Cross multiply
    130.53x = 183.59 × 183.59
  4. Step 4: Simplify right side
    130.53x = 33,706.67
  5. Step 5: Solve for x
    x = 33,706.67/130.53
  6. Step 6: Final answer
    x = 258.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.