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Finding the Third Proportional to 69,096 and 101,376

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Solution

The third proportional to 69,096 and 101,376 is: 148,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,096 : 101,376 = 101,376 : x
  2. Step 2: Convert to fraction form
    69,096/101,376 = 101,376/x
  3. Step 3: Cross multiply
    69,096x = 101,376 × 101,376
  4. Step 4: Simplify right side
    69,096x = 10,277,093,376
  5. Step 5: Solve for x
    x = 10,277,093,376/69,096
  6. Step 6: Final answer
    x = 148,736.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.