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Finding the Third Proportional to 56,578 and 117,806

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Solution

The third proportional to 56,578 and 117,806 is: 245,294.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,578 : 117,806 = 117,806 : x
  2. Step 2: Convert to fraction form
    56,578/117,806 = 117,806/x
  3. Step 3: Cross multiply
    56,578x = 117,806 × 117,806
  4. Step 4: Simplify right side
    56,578x = 13,878,253,636
  5. Step 5: Solve for x
    x = 13,878,253,636/56,578
  6. Step 6: Final answer
    x = 245,294.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.