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Finding the Third Proportional to 114,462.75 and 175,097.25

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Solution

The third proportional to 114,462.75 and 175,097.25 is: 267,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,462.75 : 175,097.25 = 175,097.25 : x
  2. Step 2: Convert to fraction form
    114,462.75/175,097.25 = 175,097.25/x
  3. Step 3: Cross multiply
    114,462.75x = 175,097.25 × 175,097.25
  4. Step 4: Simplify right side
    114,462.75x = 30,659,046,957.56
  5. Step 5: Solve for x
    x = 30,659,046,957.56/114,462.75
  6. Step 6: Final answer
    x = 267,851.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.