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Finding the Third Proportional to 68,967 and 107,536.50

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Solution

The third proportional to 68,967 and 107,536.50 is: 167,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,967 : 107,536.50 = 107,536.50 : x
  2. Step 2: Convert to fraction form
    68,967/107,536.50 = 107,536.50/x
  3. Step 3: Cross multiply
    68,967x = 107,536.50 × 107,536.50
  4. Step 4: Simplify right side
    68,967x = 11,564,098,832.25
  5. Step 5: Solve for x
    x = 11,564,098,832.25/68,967
  6. Step 6: Final answer
    x = 167,675.83

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.