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Finding the Third Proportional to 82,124 and 107,836

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Solution

The third proportional to 82,124 and 107,836 is: 141,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,124 : 107,836 = 107,836 : x
  2. Step 2: Convert to fraction form
    82,124/107,836 = 107,836/x
  3. Step 3: Cross multiply
    82,124x = 107,836 × 107,836
  4. Step 4: Simplify right side
    82,124x = 11,628,602,896
  5. Step 5: Solve for x
    x = 11,628,602,896/82,124
  6. Step 6: Final answer
    x = 141,598.11

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.