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Finding the Third Proportional to 58,339.50 and 127,977

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Solution

The third proportional to 58,339.50 and 127,977 is: 280,737.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,339.50 : 127,977 = 127,977 : x
  2. Step 2: Convert to fraction form
    58,339.50/127,977 = 127,977/x
  3. Step 3: Cross multiply
    58,339.50x = 127,977 × 127,977
  4. Step 4: Simplify right side
    58,339.50x = 16,378,112,529
  5. Step 5: Solve for x
    x = 16,378,112,529/58,339.50
  6. Step 6: Final answer
    x = 280,737.97

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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.