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Finding the Third Proportional to 71,333.06 and 168,695.06

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Solution

The third proportional to 71,333.06 and 168,695.06 is: 398,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,333.06 : 168,695.06 = 168,695.06 : x
  2. Step 2: Convert to fraction form
    71,333.06/168,695.06 = 168,695.06/x
  3. Step 3: Cross multiply
    71,333.06x = 168,695.06 × 168,695.06
  4. Step 4: Simplify right side
    71,333.06x = 28,458,024,111.88
  5. Step 5: Solve for x
    x = 28,458,024,111.88/71,333.06
  6. Step 6: Final answer
    x = 398,945.78

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.