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Finding the Third Proportional to 64.88 and 152.13

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Solution

The third proportional to 64.88 and 152.13 is: 356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.88 : 152.13 = 152.13 : x
  2. Step 2: Convert to fraction form
    64.88/152.13 = 152.13/x
  3. Step 3: Cross multiply
    64.88x = 152.13 × 152.13
  4. Step 4: Simplify right side
    64.88x = 23,142.02
  5. Step 5: Solve for x
    x = 23,142.02/64.88
  6. Step 6: Final answer
    x = 356.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.