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Finding the Third Proportional to 64,920 and 139,704

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Solution

The third proportional to 64,920 and 139,704 is: 300,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,920 : 139,704 = 139,704 : x
  2. Step 2: Convert to fraction form
    64,920/139,704 = 139,704/x
  3. Step 3: Cross multiply
    64,920x = 139,704 × 139,704
  4. Step 4: Simplify right side
    64,920x = 19,517,207,616
  5. Step 5: Solve for x
    x = 19,517,207,616/64,920
  6. Step 6: Final answer
    x = 300,634.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.