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Finding the Third Proportional to 64.13 and 130.94

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Solution

The third proportional to 64.13 and 130.94 is: 267.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.13 : 130.94 = 130.94 : x
  2. Step 2: Convert to fraction form
    64.13/130.94 = 130.94/x
  3. Step 3: Cross multiply
    64.13x = 130.94 × 130.94
  4. Step 4: Simplify right side
    64.13x = 17,145.23
  5. Step 5: Solve for x
    x = 17,145.23/64.13
  6. Step 6: Final answer
    x = 267.34

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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.