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Finding the Third Proportional to 67.64 and 93.09

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Solution

The third proportional to 67.64 and 93.09 is: 128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.64 : 93.09 = 93.09 : x
  2. Step 2: Convert to fraction form
    67.64/93.09 = 93.09/x
  3. Step 3: Cross multiply
    67.64x = 93.09 × 93.09
  4. Step 4: Simplify right side
    67.64x = 8,666.45
  5. Step 5: Solve for x
    x = 8,666.45/67.64
  6. Step 6: Final answer
    x = 128.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.