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Finding the Third Proportional to 120,925 and 262,563.50

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Solution

The third proportional to 120,925 and 262,563.50 is: 570,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,925 : 262,563.50 = 262,563.50 : x
  2. Step 2: Convert to fraction form
    120,925/262,563.50 = 262,563.50/x
  3. Step 3: Cross multiply
    120,925x = 262,563.50 × 262,563.50
  4. Step 4: Simplify right side
    120,925x = 68,939,591,532.25
  5. Step 5: Solve for x
    x = 68,939,591,532.25/120,925
  6. Step 6: Final answer
    x = 570,102.06

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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.