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Finding the Third Proportional to 74,886 and 162,893

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Solution

The third proportional to 74,886 and 162,893 is: 354,326.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,886 : 162,893 = 162,893 : x
  2. Step 2: Convert to fraction form
    74,886/162,893 = 162,893/x
  3. Step 3: Cross multiply
    74,886x = 162,893 × 162,893
  4. Step 4: Simplify right side
    74,886x = 26,534,129,449
  5. Step 5: Solve for x
    x = 26,534,129,449/74,886
  6. Step 6: Final answer
    x = 354,326.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.