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Finding the Third Proportional to 64.78 and 97.78

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Solution

The third proportional to 64.78 and 97.78 is: 147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.78 : 97.78 = 97.78 : x
  2. Step 2: Convert to fraction form
    64.78/97.78 = 97.78/x
  3. Step 3: Cross multiply
    64.78x = 97.78 × 97.78
  4. Step 4: Simplify right side
    64.78x = 9,561.17
  5. Step 5: Solve for x
    x = 9,561.17/64.78
  6. Step 6: Final answer
    x = 147.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.