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Finding the Third Proportional to 80,014.50 and 120,525.75

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Solution

The third proportional to 80,014.50 and 120,525.75 is: 181,547.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,014.50 : 120,525.75 = 120,525.75 : x
  2. Step 2: Convert to fraction form
    80,014.50/120,525.75 = 120,525.75/x
  3. Step 3: Cross multiply
    80,014.50x = 120,525.75 × 120,525.75
  4. Step 4: Simplify right side
    80,014.50x = 14,526,456,413.06
  5. Step 5: Solve for x
    x = 14,526,456,413.06/80,014.50
  6. Step 6: Final answer
    x = 181,547.80

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.