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Finding the Third Proportional to 93.76 and 157.62

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Solution

The third proportional to 93.76 and 157.62 is: 264.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.76 : 157.62 = 157.62 : x
  2. Step 2: Convert to fraction form
    93.76/157.62 = 157.62/x
  3. Step 3: Cross multiply
    93.76x = 157.62 × 157.62
  4. Step 4: Simplify right side
    93.76x = 24,845.02
  5. Step 5: Solve for x
    x = 24,845.02/93.76
  6. Step 6: Final answer
    x = 264.98

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.