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Finding the Third Proportional to 60,914 and 92,019

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Solution

The third proportional to 60,914 and 92,019 is: 139,007.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,914 : 92,019 = 92,019 : x
  2. Step 2: Convert to fraction form
    60,914/92,019 = 92,019/x
  3. Step 3: Cross multiply
    60,914x = 92,019 × 92,019
  4. Step 4: Simplify right side
    60,914x = 8,467,496,361
  5. Step 5: Solve for x
    x = 8,467,496,361/60,914
  6. Step 6: Final answer
    x = 139,007.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.