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Finding the Third Proportional to 37,298 and 74,569

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Solution

The third proportional to 37,298 and 74,569 is: 149,084.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298 : 74,569 = 74,569 : x
  2. Step 2: Convert to fraction form
    37,298/74,569 = 74,569/x
  3. Step 3: Cross multiply
    37,298x = 74,569 × 74,569
  4. Step 4: Simplify right side
    37,298x = 5,560,535,761
  5. Step 5: Solve for x
    x = 5,560,535,761/37,298
  6. Step 6: Final answer
    x = 149,084.02

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.