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Finding the Third Proportional to 56,182.75 and 121,363.25

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Solution

The third proportional to 56,182.75 and 121,363.25 is: 262,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,182.75 : 121,363.25 = 121,363.25 : x
  2. Step 2: Convert to fraction form
    56,182.75/121,363.25 = 121,363.25/x
  3. Step 3: Cross multiply
    56,182.75x = 121,363.25 × 121,363.25
  4. Step 4: Simplify right side
    56,182.75x = 14,729,038,450.56
  5. Step 5: Solve for x
    x = 14,729,038,450.56/56,182.75
  6. Step 6: Final answer
    x = 262,163.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.