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Finding the Third Proportional to 69,577.50 and 148,992.75

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Solution

The third proportional to 69,577.50 and 148,992.75 is: 319,051.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,577.50 : 148,992.75 = 148,992.75 : x
  2. Step 2: Convert to fraction form
    69,577.50/148,992.75 = 148,992.75/x
  3. Step 3: Cross multiply
    69,577.50x = 148,992.75 × 148,992.75
  4. Step 4: Simplify right side
    69,577.50x = 22,198,839,552.56
  5. Step 5: Solve for x
    x = 22,198,839,552.56/69,577.50
  6. Step 6: Final answer
    x = 319,051.99

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.