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Finding the Third Proportional to 120,069 and 262,273.50

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Solution

The third proportional to 120,069 and 262,273.50 is: 572,898.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,069 : 262,273.50 = 262,273.50 : x
  2. Step 2: Convert to fraction form
    120,069/262,273.50 = 262,273.50/x
  3. Step 3: Cross multiply
    120,069x = 262,273.50 × 262,273.50
  4. Step 4: Simplify right side
    120,069x = 68,787,388,802.25
  5. Step 5: Solve for x
    x = 68,787,388,802.25/120,069
  6. Step 6: Final answer
    x = 572,898.82

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.