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Finding the Third Proportional to 67,330 and 99,693

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Solution

The third proportional to 67,330 and 99,693 is: 147,611.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,330 : 99,693 = 99,693 : x
  2. Step 2: Convert to fraction form
    67,330/99,693 = 99,693/x
  3. Step 3: Cross multiply
    67,330x = 99,693 × 99,693
  4. Step 4: Simplify right side
    67,330x = 9,938,694,249
  5. Step 5: Solve for x
    x = 9,938,694,249/67,330
  6. Step 6: Final answer
    x = 147,611.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.