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Finding the Third Proportional to 54,366 and 84,024

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Solution

The third proportional to 54,366 and 84,024 is: 129,861.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,366 : 84,024 = 84,024 : x
  2. Step 2: Convert to fraction form
    54,366/84,024 = 84,024/x
  3. Step 3: Cross multiply
    54,366x = 84,024 × 84,024
  4. Step 4: Simplify right side
    54,366x = 7,060,032,576
  5. Step 5: Solve for x
    x = 7,060,032,576/54,366
  6. Step 6: Final answer
    x = 129,861.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.