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Finding the Third Proportional to 64,284 and 139,530

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Solution

The third proportional to 64,284 and 139,530 is: 302,853.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,284 : 139,530 = 139,530 : x
  2. Step 2: Convert to fraction form
    64,284/139,530 = 139,530/x
  3. Step 3: Cross multiply
    64,284x = 139,530 × 139,530
  4. Step 4: Simplify right side
    64,284x = 19,468,620,900
  5. Step 5: Solve for x
    x = 19,468,620,900/64,284
  6. Step 6: Final answer
    x = 302,853.29

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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.