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Finding the Third Proportional to 64.69 and 117.84

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Solution

The third proportional to 64.69 and 117.84 is: 214.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.69 : 117.84 = 117.84 : x
  2. Step 2: Convert to fraction form
    64.69/117.84 = 117.84/x
  3. Step 3: Cross multiply
    64.69x = 117.84 × 117.84
  4. Step 4: Simplify right side
    64.69x = 13,887.15
  5. Step 5: Solve for x
    x = 13,887.15/64.69
  6. Step 6: Final answer
    x = 214.68

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Why These Related Problems?

These problems maintain the same ratio (1.82) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.