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Finding the Third Proportional to 35,886 and 78,609

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Solution

The third proportional to 35,886 and 78,609 is: 172,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,886 : 78,609 = 78,609 : x
  2. Step 2: Convert to fraction form
    35,886/78,609 = 78,609/x
  3. Step 3: Cross multiply
    35,886x = 78,609 × 78,609
  4. Step 4: Simplify right side
    35,886x = 6,179,374,881
  5. Step 5: Solve for x
    x = 6,179,374,881/35,886
  6. Step 6: Final answer
    x = 172,194.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.