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Finding the Third Proportional to 29,078 and 62,806

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Solution

The third proportional to 29,078 and 62,806 is: 135,655.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,078 : 62,806 = 62,806 : x
  2. Step 2: Convert to fraction form
    29,078/62,806 = 62,806/x
  3. Step 3: Cross multiply
    29,078x = 62,806 × 62,806
  4. Step 4: Simplify right side
    29,078x = 3,944,593,636
  5. Step 5: Solve for x
    x = 3,944,593,636/29,078
  6. Step 6: Final answer
    x = 135,655.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.