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Finding the Third Proportional to 64,029 and 139,722

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Solution

The third proportional to 64,029 and 139,722 is: 304,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,029 : 139,722 = 139,722 : x
  2. Step 2: Convert to fraction form
    64,029/139,722 = 139,722/x
  3. Step 3: Cross multiply
    64,029x = 139,722 × 139,722
  4. Step 4: Simplify right side
    64,029x = 19,522,237,284
  5. Step 5: Solve for x
    x = 19,522,237,284/64,029
  6. Step 6: Final answer
    x = 304,896.80

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Why These Related Problems?

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