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Finding the Third Proportional to 67,010 and 91,006

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Solution

The third proportional to 67,010 and 91,006 is: 123,594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,010 : 91,006 = 91,006 : x
  2. Step 2: Convert to fraction form
    67,010/91,006 = 91,006/x
  3. Step 3: Cross multiply
    67,010x = 91,006 × 91,006
  4. Step 4: Simplify right side
    67,010x = 8,282,092,036
  5. Step 5: Solve for x
    x = 8,282,092,036/67,010
  6. Step 6: Final answer
    x = 123,594.87

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.