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Finding the Third Proportional to 52,004 and 82,866

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Solution

The third proportional to 52,004 and 82,866 is: 132,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004 : 82,866 = 82,866 : x
  2. Step 2: Convert to fraction form
    52,004/82,866 = 82,866/x
  3. Step 3: Cross multiply
    52,004x = 82,866 × 82,866
  4. Step 4: Simplify right side
    52,004x = 6,866,773,956
  5. Step 5: Solve for x
    x = 6,866,773,956/52,004
  6. Step 6: Final answer
    x = 132,043.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.