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Finding the Third Proportional to 73,879.25 and 156,985.75

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Solution

The third proportional to 73,879.25 and 156,985.75 is: 333,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,879.25 : 156,985.75 = 156,985.75 : x
  2. Step 2: Convert to fraction form
    73,879.25/156,985.75 = 156,985.75/x
  3. Step 3: Cross multiply
    73,879.25x = 156,985.75 × 156,985.75
  4. Step 4: Simplify right side
    73,879.25x = 24,644,525,703.06
  5. Step 5: Solve for x
    x = 24,644,525,703.06/73,879.25
  6. Step 6: Final answer
    x = 333,578.45

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.