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Finding the Third Proportional to 68,045 and 145,933

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Solution

The third proportional to 68,045 and 145,933 is: 312,975.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,045 : 145,933 = 145,933 : x
  2. Step 2: Convert to fraction form
    68,045/145,933 = 145,933/x
  3. Step 3: Cross multiply
    68,045x = 145,933 × 145,933
  4. Step 4: Simplify right side
    68,045x = 21,296,440,489
  5. Step 5: Solve for x
    x = 21,296,440,489/68,045
  6. Step 6: Final answer
    x = 312,975.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.