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Finding the Third Proportional to 103,600.50 and 159,977

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Solution

The third proportional to 103,600.50 and 159,977 is: 247,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,600.50 : 159,977 = 159,977 : x
  2. Step 2: Convert to fraction form
    103,600.50/159,977 = 159,977/x
  3. Step 3: Cross multiply
    103,600.50x = 159,977 × 159,977
  4. Step 4: Simplify right side
    103,600.50x = 25,592,640,529
  5. Step 5: Solve for x
    x = 25,592,640,529/103,600.50
  6. Step 6: Final answer
    x = 247,032.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.