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Finding the Third Proportional to 131.68 and 192.76

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Solution

The third proportional to 131.68 and 192.76 is: 282.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.68 : 192.76 = 192.76 : x
  2. Step 2: Convert to fraction form
    131.68/192.76 = 192.76/x
  3. Step 3: Cross multiply
    131.68x = 192.76 × 192.76
  4. Step 4: Simplify right side
    131.68x = 37,155.39
  5. Step 5: Solve for x
    x = 37,155.39/131.68
  6. Step 6: Final answer
    x = 282.17

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.