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Finding the Third Proportional to 64,174.50 and 139,797

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Solution

The third proportional to 64,174.50 and 139,797 is: 304,532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,174.50 : 139,797 = 139,797 : x
  2. Step 2: Convert to fraction form
    64,174.50/139,797 = 139,797/x
  3. Step 3: Cross multiply
    64,174.50x = 139,797 × 139,797
  4. Step 4: Simplify right side
    64,174.50x = 19,543,201,209
  5. Step 5: Solve for x
    x = 19,543,201,209/64,174.50
  6. Step 6: Final answer
    x = 304,532.19

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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.