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Finding the Third Proportional to 74,037 and 105,517

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Solution

The third proportional to 74,037 and 105,517 is: 150,382.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,037 : 105,517 = 105,517 : x
  2. Step 2: Convert to fraction form
    74,037/105,517 = 105,517/x
  3. Step 3: Cross multiply
    74,037x = 105,517 × 105,517
  4. Step 4: Simplify right side
    74,037x = 11,133,837,289
  5. Step 5: Solve for x
    x = 11,133,837,289/74,037
  6. Step 6: Final answer
    x = 150,382.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.