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Finding the Third Proportional to 42,722 and 93,485.75

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Solution

The third proportional to 42,722 and 93,485.75 is: 204,568.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,722 : 93,485.75 = 93,485.75 : x
  2. Step 2: Convert to fraction form
    42,722/93,485.75 = 93,485.75/x
  3. Step 3: Cross multiply
    42,722x = 93,485.75 × 93,485.75
  4. Step 4: Simplify right side
    42,722x = 8,739,585,453.06
  5. Step 5: Solve for x
    x = 8,739,585,453.06/42,722
  6. Step 6: Final answer
    x = 204,568.73

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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.