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Finding the Third Proportional to 83,526 and 182,127

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Solution

The third proportional to 83,526 and 182,127 is: 397,124.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,526 : 182,127 = 182,127 : x
  2. Step 2: Convert to fraction form
    83,526/182,127 = 182,127/x
  3. Step 3: Cross multiply
    83,526x = 182,127 × 182,127
  4. Step 4: Simplify right side
    83,526x = 33,170,244,129
  5. Step 5: Solve for x
    x = 33,170,244,129/83,526
  6. Step 6: Final answer
    x = 397,124.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.