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Finding the Third Proportional to 41,541.75 and 90,094.50

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Solution

The third proportional to 41,541.75 and 90,094.50 is: 195,394.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,541.75 : 90,094.50 = 90,094.50 : x
  2. Step 2: Convert to fraction form
    41,541.75/90,094.50 = 90,094.50/x
  3. Step 3: Cross multiply
    41,541.75x = 90,094.50 × 90,094.50
  4. Step 4: Simplify right side
    41,541.75x = 8,117,018,930.25
  5. Step 5: Solve for x
    x = 8,117,018,930.25/41,541.75
  6. Step 6: Final answer
    x = 195,394.25

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.