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Finding the Third Proportional to 54,449 and 85,562

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Solution

The third proportional to 54,449 and 85,562 is: 134,453.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,449 : 85,562 = 85,562 : x
  2. Step 2: Convert to fraction form
    54,449/85,562 = 85,562/x
  3. Step 3: Cross multiply
    54,449x = 85,562 × 85,562
  4. Step 4: Simplify right side
    54,449x = 7,320,855,844
  5. Step 5: Solve for x
    x = 7,320,855,844/54,449
  6. Step 6: Final answer
    x = 134,453.45

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.