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Finding the Third Proportional to 71.91 and 156.66

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Solution

The third proportional to 71.91 and 156.66 is: 341.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.91 : 156.66 = 156.66 : x
  2. Step 2: Convert to fraction form
    71.91/156.66 = 156.66/x
  3. Step 3: Cross multiply
    71.91x = 156.66 × 156.66
  4. Step 4: Simplify right side
    71.91x = 24,541.18
  5. Step 5: Solve for x
    x = 24,541.18/71.91
  6. Step 6: Final answer
    x = 341.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.