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Finding the Third Proportional to 64,809 and 139,014

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Solution

The third proportional to 64,809 and 139,014 is: 298,182.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,809 : 139,014 = 139,014 : x
  2. Step 2: Convert to fraction form
    64,809/139,014 = 139,014/x
  3. Step 3: Cross multiply
    64,809x = 139,014 × 139,014
  4. Step 4: Simplify right side
    64,809x = 19,324,892,196
  5. Step 5: Solve for x
    x = 19,324,892,196/64,809
  6. Step 6: Final answer
    x = 298,182.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.