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Finding the Third Proportional to 79,565 and 173,893

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Solution

The third proportional to 79,565 and 173,893 is: 380,051.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,565 : 173,893 = 173,893 : x
  2. Step 2: Convert to fraction form
    79,565/173,893 = 173,893/x
  3. Step 3: Cross multiply
    79,565x = 173,893 × 173,893
  4. Step 4: Simplify right side
    79,565x = 30,238,775,449
  5. Step 5: Solve for x
    x = 30,238,775,449/79,565
  6. Step 6: Final answer
    x = 380,051.22

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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.