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Finding the Third Proportional to 51,712 and 112,512

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Solution

The third proportional to 51,712 and 112,512 is: 244,797.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,712 : 112,512 = 112,512 : x
  2. Step 2: Convert to fraction form
    51,712/112,512 = 112,512/x
  3. Step 3: Cross multiply
    51,712x = 112,512 × 112,512
  4. Step 4: Simplify right side
    51,712x = 12,658,950,144
  5. Step 5: Solve for x
    x = 12,658,950,144/51,712
  6. Step 6: Final answer
    x = 244,797.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.