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Finding the Third Proportional to 53,529.75 and 79,674.75

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Solution

The third proportional to 53,529.75 and 79,674.75 is: 118,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,529.75 : 79,674.75 = 79,674.75 : x
  2. Step 2: Convert to fraction form
    53,529.75/79,674.75 = 79,674.75/x
  3. Step 3: Cross multiply
    53,529.75x = 79,674.75 × 79,674.75
  4. Step 4: Simplify right side
    53,529.75x = 6,348,065,787.56
  5. Step 5: Solve for x
    x = 6,348,065,787.56/53,529.75
  6. Step 6: Final answer
    x = 118,589.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.