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Finding the Third Proportional to 65.06 and 143.06

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Solution

The third proportional to 65.06 and 143.06 is: 314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.06 : 143.06 = 143.06 : x
  2. Step 2: Convert to fraction form
    65.06/143.06 = 143.06/x
  3. Step 3: Cross multiply
    65.06x = 143.06 × 143.06
  4. Step 4: Simplify right side
    65.06x = 20,466.88
  5. Step 5: Solve for x
    x = 20,466.88/65.06
  6. Step 6: Final answer
    x = 314.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.