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Finding the Third Proportional to 114,532.75 and 174,761.50

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Solution

The third proportional to 114,532.75 and 174,761.50 is: 266,662.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,532.75 : 174,761.50 = 174,761.50 : x
  2. Step 2: Convert to fraction form
    114,532.75/174,761.50 = 174,761.50/x
  3. Step 3: Cross multiply
    114,532.75x = 174,761.50 × 174,761.50
  4. Step 4: Simplify right side
    114,532.75x = 30,541,581,882.25
  5. Step 5: Solve for x
    x = 30,541,581,882.25/114,532.75
  6. Step 6: Final answer
    x = 266,662.43

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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.