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Finding the Third Proportional to 69,664 and 106,134

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Solution

The third proportional to 69,664 and 106,134 is: 161,696.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,664 : 106,134 = 106,134 : x
  2. Step 2: Convert to fraction form
    69,664/106,134 = 106,134/x
  3. Step 3: Cross multiply
    69,664x = 106,134 × 106,134
  4. Step 4: Simplify right side
    69,664x = 11,264,425,956
  5. Step 5: Solve for x
    x = 11,264,425,956/69,664
  6. Step 6: Final answer
    x = 161,696.51

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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.