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Finding the Third Proportional to 90,537.75 and 213,050.25

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Solution

The third proportional to 90,537.75 and 213,050.25 is: 501,342.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,537.75 : 213,050.25 = 213,050.25 : x
  2. Step 2: Convert to fraction form
    90,537.75/213,050.25 = 213,050.25/x
  3. Step 3: Cross multiply
    90,537.75x = 213,050.25 × 213,050.25
  4. Step 4: Simplify right side
    90,537.75x = 45,390,409,025.06
  5. Step 5: Solve for x
    x = 45,390,409,025.06/90,537.75
  6. Step 6: Final answer
    x = 501,342.36

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.