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Finding the Third Proportional to 123,525 and 252,873

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Solution

The third proportional to 123,525 and 252,873 is: 517,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,525 : 252,873 = 252,873 : x
  2. Step 2: Convert to fraction form
    123,525/252,873 = 252,873/x
  3. Step 3: Cross multiply
    123,525x = 252,873 × 252,873
  4. Step 4: Simplify right side
    123,525x = 63,944,754,129
  5. Step 5: Solve for x
    x = 63,944,754,129/123,525
  6. Step 6: Final answer
    x = 517,666.50

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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.