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Finding the Third Proportional to 42,927.75 and 94,419.75

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Solution

The third proportional to 42,927.75 and 94,419.75 is: 207,676.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,927.75 : 94,419.75 = 94,419.75 : x
  2. Step 2: Convert to fraction form
    42,927.75/94,419.75 = 94,419.75/x
  3. Step 3: Cross multiply
    42,927.75x = 94,419.75 × 94,419.75
  4. Step 4: Simplify right side
    42,927.75x = 8,915,089,190.06
  5. Step 5: Solve for x
    x = 8,915,089,190.06/42,927.75
  6. Step 6: Final answer
    x = 207,676.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.