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Finding the Third Proportional to 65.90 and 143.18

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Solution

The third proportional to 65.90 and 143.18 is: 311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.90 : 143.18 = 143.18 : x
  2. Step 2: Convert to fraction form
    65.90/143.18 = 143.18/x
  3. Step 3: Cross multiply
    65.90x = 143.18 × 143.18
  4. Step 4: Simplify right side
    65.90x = 20,500.74
  5. Step 5: Solve for x
    x = 20,500.74/65.90
  6. Step 6: Final answer
    x = 311.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.