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Finding the Third Proportional to 96,009 and 140,539.50

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Solution

The third proportional to 96,009 and 140,539.50 is: 205,723.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,009 : 140,539.50 = 140,539.50 : x
  2. Step 2: Convert to fraction form
    96,009/140,539.50 = 140,539.50/x
  3. Step 3: Cross multiply
    96,009x = 140,539.50 × 140,539.50
  4. Step 4: Simplify right side
    96,009x = 19,751,351,060.25
  5. Step 5: Solve for x
    x = 19,751,351,060.25/96,009
  6. Step 6: Final answer
    x = 205,723.95

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.