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Finding the Third Proportional to 130.99 and 143.96

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Solution

The third proportional to 130.99 and 143.96 is: 158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.99 : 143.96 = 143.96 : x
  2. Step 2: Convert to fraction form
    130.99/143.96 = 143.96/x
  3. Step 3: Cross multiply
    130.99x = 143.96 × 143.96
  4. Step 4: Simplify right side
    130.99x = 20,725.88
  5. Step 5: Solve for x
    x = 20,725.88/130.99
  6. Step 6: Final answer
    x = 158.22

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.