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Finding the Third Proportional to 69,213 and 106,104

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Solution

The third proportional to 69,213 and 106,104 is: 162,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,213 : 106,104 = 106,104 : x
  2. Step 2: Convert to fraction form
    69,213/106,104 = 106,104/x
  3. Step 3: Cross multiply
    69,213x = 106,104 × 106,104
  4. Step 4: Simplify right side
    69,213x = 11,258,058,816
  5. Step 5: Solve for x
    x = 11,258,058,816/69,213
  6. Step 6: Final answer
    x = 162,658.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.