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Finding the Third Proportional to 67,189 and 97,124

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Solution

The third proportional to 67,189 and 97,124 is: 140,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,189 : 97,124 = 97,124 : x
  2. Step 2: Convert to fraction form
    67,189/97,124 = 97,124/x
  3. Step 3: Cross multiply
    67,189x = 97,124 × 97,124
  4. Step 4: Simplify right side
    67,189x = 9,433,071,376
  5. Step 5: Solve for x
    x = 9,433,071,376/67,189
  6. Step 6: Final answer
    x = 140,396.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.