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Finding the Third Proportional to 68,967 and 110,637

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Solution

The third proportional to 68,967 and 110,637 is: 177,484.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,967 : 110,637 = 110,637 : x
  2. Step 2: Convert to fraction form
    68,967/110,637 = 110,637/x
  3. Step 3: Cross multiply
    68,967x = 110,637 × 110,637
  4. Step 4: Simplify right side
    68,967x = 12,240,545,769
  5. Step 5: Solve for x
    x = 12,240,545,769/68,967
  6. Step 6: Final answer
    x = 177,484.10

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.