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Finding the Third Proportional to 68,383 and 147,699

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Solution

The third proportional to 68,383 and 147,699 is: 319,011.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,383 : 147,699 = 147,699 : x
  2. Step 2: Convert to fraction form
    68,383/147,699 = 147,699/x
  3. Step 3: Cross multiply
    68,383x = 147,699 × 147,699
  4. Step 4: Simplify right side
    68,383x = 21,814,994,601
  5. Step 5: Solve for x
    x = 21,814,994,601/68,383
  6. Step 6: Final answer
    x = 319,011.96

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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.