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Finding the Third Proportional to 55,812 and 121,060.50

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Solution

The third proportional to 55,812 and 121,060.50 is: 262,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,812 : 121,060.50 = 121,060.50 : x
  2. Step 2: Convert to fraction form
    55,812/121,060.50 = 121,060.50/x
  3. Step 3: Cross multiply
    55,812x = 121,060.50 × 121,060.50
  4. Step 4: Simplify right side
    55,812x = 14,655,644,660.25
  5. Step 5: Solve for x
    x = 14,655,644,660.25/55,812
  6. Step 6: Final answer
    x = 262,589.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.