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Finding the Third Proportional to 112,079 and 173,532

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Solution

The third proportional to 112,079 and 173,532 is: 268,679.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,079 : 173,532 = 173,532 : x
  2. Step 2: Convert to fraction form
    112,079/173,532 = 173,532/x
  3. Step 3: Cross multiply
    112,079x = 173,532 × 173,532
  4. Step 4: Simplify right side
    112,079x = 30,113,355,024
  5. Step 5: Solve for x
    x = 30,113,355,024/112,079
  6. Step 6: Final answer
    x = 268,679.73

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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.