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Finding the Third Proportional to 64,214 and 139,552

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Solution

The third proportional to 64,214 and 139,552 is: 303,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,214 : 139,552 = 139,552 : x
  2. Step 2: Convert to fraction form
    64,214/139,552 = 139,552/x
  3. Step 3: Cross multiply
    64,214x = 139,552 × 139,552
  4. Step 4: Simplify right side
    64,214x = 19,474,760,704
  5. Step 5: Solve for x
    x = 19,474,760,704/64,214
  6. Step 6: Final answer
    x = 303,279.05

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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.