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Finding the Third Proportional to 64,253.63 and 139,233.38

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Solution

The third proportional to 64,253.63 and 139,233.38 is: 301,709.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,253.63 : 139,233.38 = 139,233.38 : x
  2. Step 2: Convert to fraction form
    64,253.63/139,233.38 = 139,233.38/x
  3. Step 3: Cross multiply
    64,253.63x = 139,233.38 × 139,233.38
  4. Step 4: Simplify right side
    64,253.63x = 19,385,932,713.89
  5. Step 5: Solve for x
    x = 19,385,932,713.89/64,253.63
  6. Step 6: Final answer
    x = 301,709.56

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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.