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Finding the Third Proportional to 64,177 and 139,045

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Solution

The third proportional to 64,177 and 139,045 is: 301,252.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,177 : 139,045 = 139,045 : x
  2. Step 2: Convert to fraction form
    64,177/139,045 = 139,045/x
  3. Step 3: Cross multiply
    64,177x = 139,045 × 139,045
  4. Step 4: Simplify right side
    64,177x = 19,333,512,025
  5. Step 5: Solve for x
    x = 19,333,512,025/64,177
  6. Step 6: Final answer
    x = 301,252.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.