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Finding the Third Proportional to 64,716.75 and 151,152.38

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Solution

The third proportional to 64,716.75 and 151,152.38 is: 353,031.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,716.75 : 151,152.38 = 151,152.38 : x
  2. Step 2: Convert to fraction form
    64,716.75/151,152.38 = 151,152.38/x
  3. Step 3: Cross multiply
    64,716.75x = 151,152.38 × 151,152.38
  4. Step 4: Simplify right side
    64,716.75x = 22,847,040,468.14
  5. Step 5: Solve for x
    x = 22,847,040,468.14/64,716.75
  6. Step 6: Final answer
    x = 353,031.33

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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.