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Finding the Third Proportional to 75,728.25 and 117,586.88

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Solution

The third proportional to 75,728.25 and 117,586.88 is: 182,582.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,728.25 : 117,586.88 = 117,586.88 : x
  2. Step 2: Convert to fraction form
    75,728.25/117,586.88 = 117,586.88/x
  3. Step 3: Cross multiply
    75,728.25x = 117,586.88 × 117,586.88
  4. Step 4: Simplify right side
    75,728.25x = 13,826,673,172.27
  5. Step 5: Solve for x
    x = 13,826,673,172.27/75,728.25
  6. Step 6: Final answer
    x = 182,582.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.