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Finding the Third Proportional to 112,662 and 173,235

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Solution

The third proportional to 112,662 and 173,235 is: 266,375.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,662 : 173,235 = 173,235 : x
  2. Step 2: Convert to fraction form
    112,662/173,235 = 173,235/x
  3. Step 3: Cross multiply
    112,662x = 173,235 × 173,235
  4. Step 4: Simplify right side
    112,662x = 30,010,365,225
  5. Step 5: Solve for x
    x = 30,010,365,225/112,662
  6. Step 6: Final answer
    x = 266,375.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.