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Finding the Third Proportional to 67,121 and 94,089

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Solution

The third proportional to 67,121 and 94,089 is: 131,892.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,121 : 94,089 = 94,089 : x
  2. Step 2: Convert to fraction form
    67,121/94,089 = 94,089/x
  3. Step 3: Cross multiply
    67,121x = 94,089 × 94,089
  4. Step 4: Simplify right side
    67,121x = 8,852,739,921
  5. Step 5: Solve for x
    x = 8,852,739,921/67,121
  6. Step 6: Final answer
    x = 131,892.25

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.