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Finding the Third Proportional to 55,285.50 and 129,963

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Solution

The third proportional to 55,285.50 and 129,963 is: 305,511.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,285.50 : 129,963 = 129,963 : x
  2. Step 2: Convert to fraction form
    55,285.50/129,963 = 129,963/x
  3. Step 3: Cross multiply
    55,285.50x = 129,963 × 129,963
  4. Step 4: Simplify right side
    55,285.50x = 16,890,381,369
  5. Step 5: Solve for x
    x = 16,890,381,369/55,285.50
  6. Step 6: Final answer
    x = 305,511.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.