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Finding the Third Proportional to 57,977 and 92,224.50

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Solution

The third proportional to 57,977 and 92,224.50 is: 146,702.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,977 : 92,224.50 = 92,224.50 : x
  2. Step 2: Convert to fraction form
    57,977/92,224.50 = 92,224.50/x
  3. Step 3: Cross multiply
    57,977x = 92,224.50 × 92,224.50
  4. Step 4: Simplify right side
    57,977x = 8,505,358,400.25
  5. Step 5: Solve for x
    x = 8,505,358,400.25/57,977
  6. Step 6: Final answer
    x = 146,702.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.