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Finding the Third Proportional to 65.67 and 145.76

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Solution

The third proportional to 65.67 and 145.76 is: 323.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.67 : 145.76 = 145.76 : x
  2. Step 2: Convert to fraction form
    65.67/145.76 = 145.76/x
  3. Step 3: Cross multiply
    65.67x = 145.76 × 145.76
  4. Step 4: Simplify right side
    65.67x = 21,247.26
  5. Step 5: Solve for x
    x = 21,247.26/65.67
  6. Step 6: Final answer
    x = 323.53

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.