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Finding the Third Proportional to 64.13 and 130.69

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Solution

The third proportional to 64.13 and 130.69 is: 266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 130.69 = 130.69 : x
  2. Step 2: Convert to fraction form
    64.13/130.69 = 130.69/x
  3. Step 3: Cross multiply
    64.13x = 130.69 × 130.69
  4. Step 4: Simplify right side
    64.13x = 17,079.22
  5. Step 5: Solve for x
    x = 17,079.22/64.13
  6. Step 6: Final answer
    x = 266.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.