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Finding the Third Proportional to 63,652 and 139,535

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Solution

The third proportional to 63,652 and 139,535 is: 305,882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,652 : 139,535 = 139,535 : x
  2. Step 2: Convert to fraction form
    63,652/139,535 = 139,535/x
  3. Step 3: Cross multiply
    63,652x = 139,535 × 139,535
  4. Step 4: Simplify right side
    63,652x = 19,470,016,225
  5. Step 5: Solve for x
    x = 19,470,016,225/63,652
  6. Step 6: Final answer
    x = 305,882.24

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.