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Finding the Third Proportional to 64,906.50 and 98,578

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Solution

The third proportional to 64,906.50 and 98,578 is: 149,717.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,906.50 : 98,578 = 98,578 : x
  2. Step 2: Convert to fraction form
    64,906.50/98,578 = 98,578/x
  3. Step 3: Cross multiply
    64,906.50x = 98,578 × 98,578
  4. Step 4: Simplify right side
    64,906.50x = 9,717,622,084
  5. Step 5: Solve for x
    x = 9,717,622,084/64,906.50
  6. Step 6: Final answer
    x = 149,717.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.