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Finding the Third Proportional to 68,212.13 and 139,806

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Solution

The third proportional to 68,212.13 and 139,806 is: 286,543.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,212.13 : 139,806 = 139,806 : x
  2. Step 2: Convert to fraction form
    68,212.13/139,806 = 139,806/x
  3. Step 3: Cross multiply
    68,212.13x = 139,806 × 139,806
  4. Step 4: Simplify right side
    68,212.13x = 19,545,717,636
  5. Step 5: Solve for x
    x = 19,545,717,636/68,212.13
  6. Step 6: Final answer
    x = 286,543.16

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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.