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Finding the Third Proportional to 52,456 and 83,189

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Solution

The third proportional to 52,456 and 83,189 is: 131,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,456 : 83,189 = 83,189 : x
  2. Step 2: Convert to fraction form
    52,456/83,189 = 83,189/x
  3. Step 3: Cross multiply
    52,456x = 83,189 × 83,189
  4. Step 4: Simplify right side
    52,456x = 6,920,409,721
  5. Step 5: Solve for x
    x = 6,920,409,721/52,456
  6. Step 6: Final answer
    x = 131,927.90

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.