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Finding the Third Proportional to 114,070.50 and 175,560.75

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Solution

The third proportional to 114,070.50 and 175,560.75 is: 270,197.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,070.50 : 175,560.75 = 175,560.75 : x
  2. Step 2: Convert to fraction form
    114,070.50/175,560.75 = 175,560.75/x
  3. Step 3: Cross multiply
    114,070.50x = 175,560.75 × 175,560.75
  4. Step 4: Simplify right side
    114,070.50x = 30,821,576,940.56
  5. Step 5: Solve for x
    x = 30,821,576,940.56/114,070.50
  6. Step 6: Final answer
    x = 270,197.61

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.