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Finding the Third Proportional to 65.81 and 138.23

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Solution

The third proportional to 65.81 and 138.23 is: 290.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 138.23 = 138.23 : x
  2. Step 2: Convert to fraction form
    65.81/138.23 = 138.23/x
  3. Step 3: Cross multiply
    65.81x = 138.23 × 138.23
  4. Step 4: Simplify right side
    65.81x = 19,108.74
  5. Step 5: Solve for x
    x = 19,108.74/65.81
  6. Step 6: Final answer
    x = 290.35

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.