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Finding the Third Proportional to 64,928 and 140,232

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Solution

The third proportional to 64,928 and 140,232 is: 302,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,928 : 140,232 = 140,232 : x
  2. Step 2: Convert to fraction form
    64,928/140,232 = 140,232/x
  3. Step 3: Cross multiply
    64,928x = 140,232 × 140,232
  4. Step 4: Simplify right side
    64,928x = 19,665,013,824
  5. Step 5: Solve for x
    x = 19,665,013,824/64,928
  6. Step 6: Final answer
    x = 302,874.17

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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.