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Finding the Third Proportional to 115,787 and 173,248

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Solution

The third proportional to 115,787 and 173,248 is: 259,224.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,787 : 173,248 = 173,248 : x
  2. Step 2: Convert to fraction form
    115,787/173,248 = 173,248/x
  3. Step 3: Cross multiply
    115,787x = 173,248 × 173,248
  4. Step 4: Simplify right side
    115,787x = 30,014,869,504
  5. Step 5: Solve for x
    x = 30,014,869,504/115,787
  6. Step 6: Final answer
    x = 259,224.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.