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Finding the Third Proportional to 68,283 and 139,941

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Solution

The third proportional to 68,283 and 139,941 is: 286,798.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,283 : 139,941 = 139,941 : x
  2. Step 2: Convert to fraction form
    68,283/139,941 = 139,941/x
  3. Step 3: Cross multiply
    68,283x = 139,941 × 139,941
  4. Step 4: Simplify right side
    68,283x = 19,583,483,481
  5. Step 5: Solve for x
    x = 19,583,483,481/68,283
  6. Step 6: Final answer
    x = 286,798.81

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.