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Finding the Third Proportional to 68,624 and 103,101

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Solution

The third proportional to 68,624 and 103,101 is: 154,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,624 : 103,101 = 103,101 : x
  2. Step 2: Convert to fraction form
    68,624/103,101 = 103,101/x
  3. Step 3: Cross multiply
    68,624x = 103,101 × 103,101
  4. Step 4: Simplify right side
    68,624x = 10,629,816,201
  5. Step 5: Solve for x
    x = 10,629,816,201/68,624
  6. Step 6: Final answer
    x = 154,899.40

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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.