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Finding the Third Proportional to 123,967.50 and 254,469

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Solution

The third proportional to 123,967.50 and 254,469 is: 522,350.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,967.50 : 254,469 = 254,469 : x
  2. Step 2: Convert to fraction form
    123,967.50/254,469 = 254,469/x
  3. Step 3: Cross multiply
    123,967.50x = 254,469 × 254,469
  4. Step 4: Simplify right side
    123,967.50x = 64,754,471,961
  5. Step 5: Solve for x
    x = 64,754,471,961/123,967.50
  6. Step 6: Final answer
    x = 522,350.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.