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Finding the Third Proportional to 123,037.88 and 175,943.25

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Solution

The third proportional to 123,037.88 and 175,943.25 is: 251,597.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,037.88 : 175,943.25 = 175,943.25 : x
  2. Step 2: Convert to fraction form
    123,037.88/175,943.25 = 175,943.25/x
  3. Step 3: Cross multiply
    123,037.88x = 175,943.25 × 175,943.25
  4. Step 4: Simplify right side
    123,037.88x = 30,956,027,220.56
  5. Step 5: Solve for x
    x = 30,956,027,220.56/123,037.88
  6. Step 6: Final answer
    x = 251,597.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.