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Finding the Third Proportional to 54,029 and 116,381

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Solution

The third proportional to 54,029 and 116,381 is: 250,690.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,029 : 116,381 = 116,381 : x
  2. Step 2: Convert to fraction form
    54,029/116,381 = 116,381/x
  3. Step 3: Cross multiply
    54,029x = 116,381 × 116,381
  4. Step 4: Simplify right side
    54,029x = 13,544,537,161
  5. Step 5: Solve for x
    x = 13,544,537,161/54,029
  6. Step 6: Final answer
    x = 250,690.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.