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Finding the Third Proportional to 37,086 and 79,998

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Solution

The third proportional to 37,086 and 79,998 is: 172,563.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,086 : 79,998 = 79,998 : x
  2. Step 2: Convert to fraction form
    37,086/79,998 = 79,998/x
  3. Step 3: Cross multiply
    37,086x = 79,998 × 79,998
  4. Step 4: Simplify right side
    37,086x = 6,399,680,004
  5. Step 5: Solve for x
    x = 6,399,680,004/37,086
  6. Step 6: Final answer
    x = 172,563.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.