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Finding the Third Proportional to 65.25 and 95.06

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Solution

The third proportional to 65.25 and 95.06 is: 138.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.25 : 95.06 = 95.06 : x
  2. Step 2: Convert to fraction form
    65.25/95.06 = 95.06/x
  3. Step 3: Cross multiply
    65.25x = 95.06 × 95.06
  4. Step 4: Simplify right side
    65.25x = 9,036.88
  5. Step 5: Solve for x
    x = 9,036.88/65.25
  6. Step 6: Final answer
    x = 138.50

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.