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Finding the Third Proportional to 64,722.38 and 141,211.27

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Solution

The third proportional to 64,722.38 and 141,211.27 is: 308,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,722.38 : 141,211.27 = 141,211.27 : x
  2. Step 2: Convert to fraction form
    64,722.38/141,211.27 = 141,211.27/x
  3. Step 3: Cross multiply
    64,722.38x = 141,211.27 × 141,211.27
  4. Step 4: Simplify right side
    64,722.38x = 19,940,621,539.41
  5. Step 5: Solve for x
    x = 19,940,621,539.41/64,722.38
  6. Step 6: Final answer
    x = 308,094.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.