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Finding the Third Proportional to 67,868 and 102,497.50

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Solution

The third proportional to 67,868 and 102,497.50 is: 154,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,868 : 102,497.50 = 102,497.50 : x
  2. Step 2: Convert to fraction form
    67,868/102,497.50 = 102,497.50/x
  3. Step 3: Cross multiply
    67,868x = 102,497.50 × 102,497.50
  4. Step 4: Simplify right side
    67,868x = 10,505,737,506.25
  5. Step 5: Solve for x
    x = 10,505,737,506.25/67,868
  6. Step 6: Final answer
    x = 154,796.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.