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Finding the Third Proportional to 71,825 and 145,702

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Solution

The third proportional to 71,825 and 145,702 is: 295,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825 : 145,702 = 145,702 : x
  2. Step 2: Convert to fraction form
    71,825/145,702 = 145,702/x
  3. Step 3: Cross multiply
    71,825x = 145,702 × 145,702
  4. Step 4: Simplify right side
    71,825x = 21,229,072,804
  5. Step 5: Solve for x
    x = 21,229,072,804/71,825
  6. Step 6: Final answer
    x = 295,566.62

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.