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Finding the Third Proportional to 68,618 and 109,579

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Solution

The third proportional to 68,618 and 109,579 is: 174,991.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,618 : 109,579 = 109,579 : x
  2. Step 2: Convert to fraction form
    68,618/109,579 = 109,579/x
  3. Step 3: Cross multiply
    68,618x = 109,579 × 109,579
  4. Step 4: Simplify right side
    68,618x = 12,007,557,241
  5. Step 5: Solve for x
    x = 12,007,557,241/68,618
  6. Step 6: Final answer
    x = 174,991.36

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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.