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Finding the Third Proportional to 81,815 and 110,490

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Solution

The third proportional to 81,815 and 110,490 is: 149,215.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,815 : 110,490 = 110,490 : x
  2. Step 2: Convert to fraction form
    81,815/110,490 = 110,490/x
  3. Step 3: Cross multiply
    81,815x = 110,490 × 110,490
  4. Step 4: Simplify right side
    81,815x = 12,208,040,100
  5. Step 5: Solve for x
    x = 12,208,040,100/81,815
  6. Step 6: Final answer
    x = 149,215.18

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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.