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Finding the Third Proportional to 65.32 and 140.95

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Solution

The third proportional to 65.32 and 140.95 is: 304.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.32 : 140.95 = 140.95 : x
  2. Step 2: Convert to fraction form
    65.32/140.95 = 140.95/x
  3. Step 3: Cross multiply
    65.32x = 140.95 × 140.95
  4. Step 4: Simplify right side
    65.32x = 19,867.78
  5. Step 5: Solve for x
    x = 19,867.78/65.32
  6. Step 6: Final answer
    x = 304.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.