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Finding the Third Proportional to 53,292 and 113,874

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Solution

The third proportional to 53,292 and 113,874 is: 243,325.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,292 : 113,874 = 113,874 : x
  2. Step 2: Convert to fraction form
    53,292/113,874 = 113,874/x
  3. Step 3: Cross multiply
    53,292x = 113,874 × 113,874
  4. Step 4: Simplify right side
    53,292x = 12,967,287,876
  5. Step 5: Solve for x
    x = 12,967,287,876/53,292
  6. Step 6: Final answer
    x = 243,325.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.