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Finding the Third Proportional to 54,742 and 84,529

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Solution

The third proportional to 54,742 and 84,529 is: 130,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,742 : 84,529 = 84,529 : x
  2. Step 2: Convert to fraction form
    54,742/84,529 = 84,529/x
  3. Step 3: Cross multiply
    54,742x = 84,529 × 84,529
  4. Step 4: Simplify right side
    54,742x = 7,145,151,841
  5. Step 5: Solve for x
    x = 7,145,151,841/54,742
  6. Step 6: Final answer
    x = 130,524.13

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.