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Finding the Third Proportional to 98,524 and 146,994

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Solution

The third proportional to 98,524 and 146,994 is: 219,309.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,524 : 146,994 = 146,994 : x
  2. Step 2: Convert to fraction form
    98,524/146,994 = 146,994/x
  3. Step 3: Cross multiply
    98,524x = 146,994 × 146,994
  4. Step 4: Simplify right side
    98,524x = 21,607,236,036
  5. Step 5: Solve for x
    x = 21,607,236,036/98,524
  6. Step 6: Final answer
    x = 219,309.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.