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Finding the Third Proportional to 52,340 and 113,102

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Solution

The third proportional to 52,340 and 113,102 is: 244,403.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,340 : 113,102 = 113,102 : x
  2. Step 2: Convert to fraction form
    52,340/113,102 = 113,102/x
  3. Step 3: Cross multiply
    52,340x = 113,102 × 113,102
  4. Step 4: Simplify right side
    52,340x = 12,792,062,404
  5. Step 5: Solve for x
    x = 12,792,062,404/52,340
  6. Step 6: Final answer
    x = 244,403.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.