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Finding the Third Proportional to 67,406 and 159,065

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Solution

The third proportional to 67,406 and 159,065 is: 375,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,406 : 159,065 = 159,065 : x
  2. Step 2: Convert to fraction form
    67,406/159,065 = 159,065/x
  3. Step 3: Cross multiply
    67,406x = 159,065 × 159,065
  4. Step 4: Simplify right side
    67,406x = 25,301,674,225
  5. Step 5: Solve for x
    x = 25,301,674,225/67,406
  6. Step 6: Final answer
    x = 375,362.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.