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Finding the Third Proportional to 74,856.94 and 164,205.56

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Solution

The third proportional to 74,856.94 and 164,205.56 is: 360,199.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,856.94 : 164,205.56 = 164,205.56 : x
  2. Step 2: Convert to fraction form
    74,856.94/164,205.56 = 164,205.56/x
  3. Step 3: Cross multiply
    74,856.94x = 164,205.56 × 164,205.56
  4. Step 4: Simplify right side
    74,856.94x = 26,963,466,755.94
  5. Step 5: Solve for x
    x = 26,963,466,755.94/74,856.94
  6. Step 6: Final answer
    x = 360,199.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.