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Finding the Third Proportional to 56,208 and 120,754

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Solution

The third proportional to 56,208 and 120,754 is: 259,420.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,208 : 120,754 = 120,754 : x
  2. Step 2: Convert to fraction form
    56,208/120,754 = 120,754/x
  3. Step 3: Cross multiply
    56,208x = 120,754 × 120,754
  4. Step 4: Simplify right side
    56,208x = 14,581,528,516
  5. Step 5: Solve for x
    x = 14,581,528,516/56,208
  6. Step 6: Final answer
    x = 259,420.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.