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Finding the Third Proportional to 68,598 and 103,077

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Solution

The third proportional to 68,598 and 103,077 is: 154,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,598 : 103,077 = 103,077 : x
  2. Step 2: Convert to fraction form
    68,598/103,077 = 103,077/x
  3. Step 3: Cross multiply
    68,598x = 103,077 × 103,077
  4. Step 4: Simplify right side
    68,598x = 10,624,867,929
  5. Step 5: Solve for x
    x = 10,624,867,929/68,598
  6. Step 6: Final answer
    x = 154,885.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.