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Finding the Third Proportional to 52,813 and 117,432

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Solution

The third proportional to 52,813 and 117,432 is: 261,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,813 : 117,432 = 117,432 : x
  2. Step 2: Convert to fraction form
    52,813/117,432 = 117,432/x
  3. Step 3: Cross multiply
    52,813x = 117,432 × 117,432
  4. Step 4: Simplify right side
    52,813x = 13,790,274,624
  5. Step 5: Solve for x
    x = 13,790,274,624/52,813
  6. Step 6: Final answer
    x = 261,115.15

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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.