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Finding the Third Proportional to 54,419 and 77,029

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Solution

The third proportional to 54,419 and 77,029 is: 109,033.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,419 : 77,029 = 77,029 : x
  2. Step 2: Convert to fraction form
    54,419/77,029 = 77,029/x
  3. Step 3: Cross multiply
    54,419x = 77,029 × 77,029
  4. Step 4: Simplify right side
    54,419x = 5,933,466,841
  5. Step 5: Solve for x
    x = 5,933,466,841/54,419
  6. Step 6: Final answer
    x = 109,033.00

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.