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Finding the Third Proportional to 72.14 and 156.62

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Solution

The third proportional to 72.14 and 156.62 is: 340.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 156.62 = 156.62 : x
  2. Step 2: Convert to fraction form
    72.14/156.62 = 156.62/x
  3. Step 3: Cross multiply
    72.14x = 156.62 × 156.62
  4. Step 4: Simplify right side
    72.14x = 24,530.17
  5. Step 5: Solve for x
    x = 24,530.17/72.14
  6. Step 6: Final answer
    x = 340.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.