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Finding the Third Proportional to 64,700 and 139,336

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Solution

The third proportional to 64,700 and 139,336 is: 300,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,700 : 139,336 = 139,336 : x
  2. Step 2: Convert to fraction form
    64,700/139,336 = 139,336/x
  3. Step 3: Cross multiply
    64,700x = 139,336 × 139,336
  4. Step 4: Simplify right side
    64,700x = 19,414,520,896
  5. Step 5: Solve for x
    x = 19,414,520,896/64,700
  6. Step 6: Final answer
    x = 300,069.87

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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.