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Finding the Third Proportional to 94,012.75 and 201,147.25

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Solution

The third proportional to 94,012.75 and 201,147.25 is: 430,369.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,012.75 : 201,147.25 = 201,147.25 : x
  2. Step 2: Convert to fraction form
    94,012.75/201,147.25 = 201,147.25/x
  3. Step 3: Cross multiply
    94,012.75x = 201,147.25 × 201,147.25
  4. Step 4: Simplify right side
    94,012.75x = 40,460,216,182.56
  5. Step 5: Solve for x
    x = 40,460,216,182.56/94,012.75
  6. Step 6: Final answer
    x = 430,369.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.