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Finding the Third Proportional to 65,505 and 140,348.50

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Solution

The third proportional to 65,505 and 140,348.50 is: 300,705.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,505 : 140,348.50 = 140,348.50 : x
  2. Step 2: Convert to fraction form
    65,505/140,348.50 = 140,348.50/x
  3. Step 3: Cross multiply
    65,505x = 140,348.50 × 140,348.50
  4. Step 4: Simplify right side
    65,505x = 19,697,701,452.25
  5. Step 5: Solve for x
    x = 19,697,701,452.25/65,505
  6. Step 6: Final answer
    x = 300,705.31

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