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Finding the Third Proportional to 86,493 and 110,520

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Solution

The third proportional to 86,493 and 110,520 is: 141,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,493 : 110,520 = 110,520 : x
  2. Step 2: Convert to fraction form
    86,493/110,520 = 110,520/x
  3. Step 3: Cross multiply
    86,493x = 110,520 × 110,520
  4. Step 4: Simplify right side
    86,493x = 12,214,670,400
  5. Step 5: Solve for x
    x = 12,214,670,400/86,493
  6. Step 6: Final answer
    x = 141,221.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.