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Finding the Third Proportional to 64.13 and 95.06

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Solution

The third proportional to 64.13 and 95.06 is: 140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 95.06 = 95.06 : x
  2. Step 2: Convert to fraction form
    64.13/95.06 = 95.06/x
  3. Step 3: Cross multiply
    64.13x = 95.06 × 95.06
  4. Step 4: Simplify right side
    64.13x = 9,036.88
  5. Step 5: Solve for x
    x = 9,036.88/64.13
  6. Step 6: Final answer
    x = 140.93

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.