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Finding the Third Proportional to 77,008.50 and 155,161.69

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Solution

The third proportional to 77,008.50 and 155,161.69 is: 312,629.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,008.50 : 155,161.69 = 155,161.69 : x
  2. Step 2: Convert to fraction form
    77,008.50/155,161.69 = 155,161.69/x
  3. Step 3: Cross multiply
    77,008.50x = 155,161.69 × 155,161.69
  4. Step 4: Simplify right side
    77,008.50x = 24,075,149,267.85
  5. Step 5: Solve for x
    x = 24,075,149,267.85/77,008.50
  6. Step 6: Final answer
    x = 312,629.77

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These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.