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Finding the Third Proportional to 64,858 and 98,616

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Solution

The third proportional to 64,858 and 98,616 is: 149,944.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858 : 98,616 = 98,616 : x
  2. Step 2: Convert to fraction form
    64,858/98,616 = 98,616/x
  3. Step 3: Cross multiply
    64,858x = 98,616 × 98,616
  4. Step 4: Simplify right side
    64,858x = 9,725,115,456
  5. Step 5: Solve for x
    x = 9,725,115,456/64,858
  6. Step 6: Final answer
    x = 149,944.73

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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.