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Finding the Third Proportional to 64,512 and 139,264

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Solution

The third proportional to 64,512 and 139,264 is: 300,633.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,512 : 139,264 = 139,264 : x
  2. Step 2: Convert to fraction form
    64,512/139,264 = 139,264/x
  3. Step 3: Cross multiply
    64,512x = 139,264 × 139,264
  4. Step 4: Simplify right side
    64,512x = 19,394,461,696
  5. Step 5: Solve for x
    x = 19,394,461,696/64,512
  6. Step 6: Final answer
    x = 300,633.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.