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Finding the Third Proportional to 64,549.13 and 139,822.31

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Solution

The third proportional to 64,549.13 and 139,822.31 is: 302,874.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,549.13 : 139,822.31 = 139,822.31 : x
  2. Step 2: Convert to fraction form
    64,549.13/139,822.31 = 139,822.31/x
  3. Step 3: Cross multiply
    64,549.13x = 139,822.31 × 139,822.31
  4. Step 4: Simplify right side
    64,549.13x = 19,550,279,072.85
  5. Step 5: Solve for x
    x = 19,550,279,072.85/64,549.13
  6. Step 6: Final answer
    x = 302,874.42

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