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Finding the Third Proportional to 69,586 and 93,223

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Solution

The third proportional to 69,586 and 93,223 is: 124,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,586 : 93,223 = 93,223 : x
  2. Step 2: Convert to fraction form
    69,586/93,223 = 93,223/x
  3. Step 3: Cross multiply
    69,586x = 93,223 × 93,223
  4. Step 4: Simplify right side
    69,586x = 8,690,527,729
  5. Step 5: Solve for x
    x = 8,690,527,729/69,586
  6. Step 6: Final answer
    x = 124,889.03

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.