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Finding the Third Proportional to 81,364 and 122,914

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Solution

The third proportional to 81,364 and 122,914 is: 185,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,364 : 122,914 = 122,914 : x
  2. Step 2: Convert to fraction form
    81,364/122,914 = 122,914/x
  3. Step 3: Cross multiply
    81,364x = 122,914 × 122,914
  4. Step 4: Simplify right side
    81,364x = 15,107,851,396
  5. Step 5: Solve for x
    x = 15,107,851,396/81,364
  6. Step 6: Final answer
    x = 185,682.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.