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Finding the Third Proportional to 56,360 and 84,756

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Solution

The third proportional to 56,360 and 84,756 is: 127,458.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,360 : 84,756 = 84,756 : x
  2. Step 2: Convert to fraction form
    56,360/84,756 = 84,756/x
  3. Step 3: Cross multiply
    56,360x = 84,756 × 84,756
  4. Step 4: Simplify right side
    56,360x = 7,183,579,536
  5. Step 5: Solve for x
    x = 7,183,579,536/56,360
  6. Step 6: Final answer
    x = 127,458.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.