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Finding the Third Proportional to 64.97 and 92.95

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Solution

The third proportional to 64.97 and 92.95 is: 132.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.97 : 92.95 = 92.95 : x
  2. Step 2: Convert to fraction form
    64.97/92.95 = 92.95/x
  3. Step 3: Cross multiply
    64.97x = 92.95 × 92.95
  4. Step 4: Simplify right side
    64.97x = 8,640.28
  5. Step 5: Solve for x
    x = 8,640.28/64.97
  6. Step 6: Final answer
    x = 132.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.