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Finding the Third Proportional to 123,772.50 and 180,366.75

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Solution

The third proportional to 123,772.50 and 180,366.75 is: 262,838.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,772.50 : 180,366.75 = 180,366.75 : x
  2. Step 2: Convert to fraction form
    123,772.50/180,366.75 = 180,366.75/x
  3. Step 3: Cross multiply
    123,772.50x = 180,366.75 × 180,366.75
  4. Step 4: Simplify right side
    123,772.50x = 32,532,164,505.56
  5. Step 5: Solve for x
    x = 32,532,164,505.56/123,772.50
  6. Step 6: Final answer
    x = 262,838.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.