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Finding the Third Proportional to 52,830 and 117,471

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Solution

The third proportional to 52,830 and 117,471 is: 261,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,830 : 117,471 = 117,471 : x
  2. Step 2: Convert to fraction form
    52,830/117,471 = 117,471/x
  3. Step 3: Cross multiply
    52,830x = 117,471 × 117,471
  4. Step 4: Simplify right side
    52,830x = 13,799,435,841
  5. Step 5: Solve for x
    x = 13,799,435,841/52,830
  6. Step 6: Final answer
    x = 261,204.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.