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Finding the Third Proportional to 67,088 and 90,790

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Solution

The third proportional to 67,088 and 90,790 is: 122,865.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,088 : 90,790 = 90,790 : x
  2. Step 2: Convert to fraction form
    67,088/90,790 = 90,790/x
  3. Step 3: Cross multiply
    67,088x = 90,790 × 90,790
  4. Step 4: Simplify right side
    67,088x = 8,242,824,100
  5. Step 5: Solve for x
    x = 8,242,824,100/67,088
  6. Step 6: Final answer
    x = 122,865.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.