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Finding the Third Proportional to 79,958 and 172,014

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Solution

The third proportional to 79,958 and 172,014 is: 370,054.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,958 : 172,014 = 172,014 : x
  2. Step 2: Convert to fraction form
    79,958/172,014 = 172,014/x
  3. Step 3: Cross multiply
    79,958x = 172,014 × 172,014
  4. Step 4: Simplify right side
    79,958x = 29,588,816,196
  5. Step 5: Solve for x
    x = 29,588,816,196/79,958
  6. Step 6: Final answer
    x = 370,054.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.