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Finding the Third Proportional to 37,127 and 79,999

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Solution

The third proportional to 37,127 and 79,999 is: 172,376.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,127 : 79,999 = 79,999 : x
  2. Step 2: Convert to fraction form
    37,127/79,999 = 79,999/x
  3. Step 3: Cross multiply
    37,127x = 79,999 × 79,999
  4. Step 4: Simplify right side
    37,127x = 6,399,840,001
  5. Step 5: Solve for x
    x = 6,399,840,001/37,127
  6. Step 6: Final answer
    x = 172,376.98

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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.