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Finding the Third Proportional to 81,818 and 110,494

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Solution

The third proportional to 81,818 and 110,494 is: 149,220.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,818 : 110,494 = 110,494 : x
  2. Step 2: Convert to fraction form
    81,818/110,494 = 110,494/x
  3. Step 3: Cross multiply
    81,818x = 110,494 × 110,494
  4. Step 4: Simplify right side
    81,818x = 12,208,924,036
  5. Step 5: Solve for x
    x = 12,208,924,036/81,818
  6. Step 6: Final answer
    x = 149,220.51

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.