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Finding the Third Proportional to 54,029 and 84,324

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Solution

The third proportional to 54,029 and 84,324 is: 131,605.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,029 : 84,324 = 84,324 : x
  2. Step 2: Convert to fraction form
    54,029/84,324 = 84,324/x
  3. Step 3: Cross multiply
    54,029x = 84,324 × 84,324
  4. Step 4: Simplify right side
    54,029x = 7,110,536,976
  5. Step 5: Solve for x
    x = 7,110,536,976/54,029
  6. Step 6: Final answer
    x = 131,605.93

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.