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Finding the Third Proportional to 53,093.81 and 80,320.78

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Solution

The third proportional to 53,093.81 and 80,320.78 is: 121,509.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,093.81 : 80,320.78 = 80,320.78 : x
  2. Step 2: Convert to fraction form
    53,093.81/80,320.78 = 80,320.78/x
  3. Step 3: Cross multiply
    53,093.81x = 80,320.78 × 80,320.78
  4. Step 4: Simplify right side
    53,093.81x = 6,451,427,900.61
  5. Step 5: Solve for x
    x = 6,451,427,900.61/53,093.81
  6. Step 6: Final answer
    x = 121,509.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.