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Finding the Third Proportional to 67,537.13 and 145,546.88

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Solution

The third proportional to 67,537.13 and 145,546.88 is: 313,662.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,537.13 : 145,546.88 = 145,546.88 : x
  2. Step 2: Convert to fraction form
    67,537.13/145,546.88 = 145,546.88/x
  3. Step 3: Cross multiply
    67,537.13x = 145,546.88 × 145,546.88
  4. Step 4: Simplify right side
    67,537.13x = 21,183,892,822.27
  5. Step 5: Solve for x
    x = 21,183,892,822.27/67,537.13
  6. Step 6: Final answer
    x = 313,662.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.