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Finding the Third Proportional to 56,052 and 123,025.50

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Solution

The third proportional to 56,052 and 123,025.50 is: 270,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,052 : 123,025.50 = 123,025.50 : x
  2. Step 2: Convert to fraction form
    56,052/123,025.50 = 123,025.50/x
  3. Step 3: Cross multiply
    56,052x = 123,025.50 × 123,025.50
  4. Step 4: Simplify right side
    56,052x = 15,135,273,650.25
  5. Step 5: Solve for x
    x = 15,135,273,650.25/56,052
  6. Step 6: Final answer
    x = 270,022.01

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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.