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Finding the Third Proportional to 64,796 and 139,434

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Solution

The third proportional to 64,796 and 139,434 is: 300,046.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,796 : 139,434 = 139,434 : x
  2. Step 2: Convert to fraction form
    64,796/139,434 = 139,434/x
  3. Step 3: Cross multiply
    64,796x = 139,434 × 139,434
  4. Step 4: Simplify right side
    64,796x = 19,441,840,356
  5. Step 5: Solve for x
    x = 19,441,840,356/64,796
  6. Step 6: Final answer
    x = 300,046.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.