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Finding the Third Proportional to 64,167.75 and 154,587.38

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Solution

The third proportional to 64,167.75 and 154,587.38 is: 372,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,167.75 : 154,587.38 = 154,587.38 : x
  2. Step 2: Convert to fraction form
    64,167.75/154,587.38 = 154,587.38/x
  3. Step 3: Cross multiply
    64,167.75x = 154,587.38 × 154,587.38
  4. Step 4: Simplify right side
    64,167.75x = 23,897,256,509.39
  5. Step 5: Solve for x
    x = 23,897,256,509.39/64,167.75
  6. Step 6: Final answer
    x = 372,418.49

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.