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Finding the Third Proportional to 113,560 and 173,094

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Solution

The third proportional to 113,560 and 173,094 is: 263,838.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,560 : 173,094 = 173,094 : x
  2. Step 2: Convert to fraction form
    113,560/173,094 = 173,094/x
  3. Step 3: Cross multiply
    113,560x = 173,094 × 173,094
  4. Step 4: Simplify right side
    113,560x = 29,961,532,836
  5. Step 5: Solve for x
    x = 29,961,532,836/113,560
  6. Step 6: Final answer
    x = 263,838.79

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.