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Finding the Third Proportional to 53,277 and 88,782.75

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Solution

The third proportional to 53,277 and 88,782.75 is: 147,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,277 : 88,782.75 = 88,782.75 : x
  2. Step 2: Convert to fraction form
    53,277/88,782.75 = 88,782.75/x
  3. Step 3: Cross multiply
    53,277x = 88,782.75 × 88,782.75
  4. Step 4: Simplify right side
    53,277x = 7,882,376,697.56
  5. Step 5: Solve for x
    x = 7,882,376,697.56/53,277
  6. Step 6: Final answer
    x = 147,950.84

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.