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Finding the Third Proportional to 37,927 and 83,143.75

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Solution

The third proportional to 37,927 and 83,143.75 is: 182,268.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,927 : 83,143.75 = 83,143.75 : x
  2. Step 2: Convert to fraction form
    37,927/83,143.75 = 83,143.75/x
  3. Step 3: Cross multiply
    37,927x = 83,143.75 × 83,143.75
  4. Step 4: Simplify right side
    37,927x = 6,912,883,164.06
  5. Step 5: Solve for x
    x = 6,912,883,164.06/37,927
  6. Step 6: Final answer
    x = 182,268.12

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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.