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Finding the Third Proportional to 64.02 and 94.61

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Solution

The third proportional to 64.02 and 94.61 is: 139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.02 : 94.61 = 94.61 : x
  2. Step 2: Convert to fraction form
    64.02/94.61 = 94.61/x
  3. Step 3: Cross multiply
    64.02x = 94.61 × 94.61
  4. Step 4: Simplify right side
    64.02x = 8,950.19
  5. Step 5: Solve for x
    x = 8,950.19/64.02
  6. Step 6: Final answer
    x = 139.80

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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.