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Finding the Third Proportional to 64,194 and 149,988

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Solution

The third proportional to 64,194 and 149,988 is: 350,443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,194 : 149,988 = 149,988 : x
  2. Step 2: Convert to fraction form
    64,194/149,988 = 149,988/x
  3. Step 3: Cross multiply
    64,194x = 149,988 × 149,988
  4. Step 4: Simplify right side
    64,194x = 22,496,400,144
  5. Step 5: Solve for x
    x = 22,496,400,144/64,194
  6. Step 6: Final answer
    x = 350,443.97

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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.