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Finding the Third Proportional to 71,496 and 106,866

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Solution

The third proportional to 71,496 and 106,866 is: 159,734.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,496 : 106,866 = 106,866 : x
  2. Step 2: Convert to fraction form
    71,496/106,866 = 106,866/x
  3. Step 3: Cross multiply
    71,496x = 106,866 × 106,866
  4. Step 4: Simplify right side
    71,496x = 11,420,341,956
  5. Step 5: Solve for x
    x = 11,420,341,956/71,496
  6. Step 6: Final answer
    x = 159,734.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.