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Finding the Third Proportional to 52,475 and 113,242

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Solution

The third proportional to 52,475 and 113,242 is: 244,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,475 : 113,242 = 113,242 : x
  2. Step 2: Convert to fraction form
    52,475/113,242 = 113,242/x
  3. Step 3: Cross multiply
    52,475x = 113,242 × 113,242
  4. Step 4: Simplify right side
    52,475x = 12,823,750,564
  5. Step 5: Solve for x
    x = 12,823,750,564/52,475
  6. Step 6: Final answer
    x = 244,378.29

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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.