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Finding the Third Proportional to 114,500.25 and 175,152.38

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Solution

The third proportional to 114,500.25 and 175,152.38 is: 267,932.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,500.25 : 175,152.38 = 175,152.38 : x
  2. Step 2: Convert to fraction form
    114,500.25/175,152.38 = 175,152.38/x
  3. Step 3: Cross multiply
    114,500.25x = 175,152.38 × 175,152.38
  4. Step 4: Simplify right side
    114,500.25x = 30,678,354,468.14
  5. Step 5: Solve for x
    x = 30,678,354,468.14/114,500.25
  6. Step 6: Final answer
    x = 267,932.64

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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.