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Finding the Third Proportional to 68,214 and 139,809

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Solution

The third proportional to 68,214 and 139,809 is: 286,547.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,214 : 139,809 = 139,809 : x
  2. Step 2: Convert to fraction form
    68,214/139,809 = 139,809/x
  3. Step 3: Cross multiply
    68,214x = 139,809 × 139,809
  4. Step 4: Simplify right side
    68,214x = 19,546,556,481
  5. Step 5: Solve for x
    x = 19,546,556,481/68,214
  6. Step 6: Final answer
    x = 286,547.58

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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.