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Finding the Third Proportional to 62,920 and 139,826

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Solution

The third proportional to 62,920 and 139,826 is: 310,732.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,920 : 139,826 = 139,826 : x
  2. Step 2: Convert to fraction form
    62,920/139,826 = 139,826/x
  3. Step 3: Cross multiply
    62,920x = 139,826 × 139,826
  4. Step 4: Simplify right side
    62,920x = 19,551,310,276
  5. Step 5: Solve for x
    x = 19,551,310,276/62,920
  6. Step 6: Final answer
    x = 310,732.84

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.