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Finding the Third Proportional to 56,055 and 123,032

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Solution

The third proportional to 56,055 and 123,032 is: 270,036.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,055 : 123,032 = 123,032 : x
  2. Step 2: Convert to fraction form
    56,055/123,032 = 123,032/x
  3. Step 3: Cross multiply
    56,055x = 123,032 × 123,032
  4. Step 4: Simplify right side
    56,055x = 15,136,873,024
  5. Step 5: Solve for x
    x = 15,136,873,024/56,055
  6. Step 6: Final answer
    x = 270,036.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.