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Finding the Third Proportional to 98,064 and 138,648

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Solution

The third proportional to 98,064 and 138,648 is: 196,027.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,064 : 138,648 = 138,648 : x
  2. Step 2: Convert to fraction form
    98,064/138,648 = 138,648/x
  3. Step 3: Cross multiply
    98,064x = 138,648 × 138,648
  4. Step 4: Simplify right side
    98,064x = 19,223,267,904
  5. Step 5: Solve for x
    x = 19,223,267,904/98,064
  6. Step 6: Final answer
    x = 196,027.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.