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Finding the Third Proportional to 54,364 and 84,022

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Solution

The third proportional to 54,364 and 84,022 is: 129,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,364 : 84,022 = 84,022 : x
  2. Step 2: Convert to fraction form
    54,364/84,022 = 84,022/x
  3. Step 3: Cross multiply
    54,364x = 84,022 × 84,022
  4. Step 4: Simplify right side
    54,364x = 7,059,696,484
  5. Step 5: Solve for x
    x = 7,059,696,484/54,364
  6. Step 6: Final answer
    x = 129,859.77

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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.