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Finding the Third Proportional to 65,503.50 and 140,353.50

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Solution

The third proportional to 65,503.50 and 140,353.50 is: 300,733.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,503.50 : 140,353.50 = 140,353.50 : x
  2. Step 2: Convert to fraction form
    65,503.50/140,353.50 = 140,353.50/x
  3. Step 3: Cross multiply
    65,503.50x = 140,353.50 × 140,353.50
  4. Step 4: Simplify right side
    65,503.50x = 19,699,104,962.25
  5. Step 5: Solve for x
    x = 19,699,104,962.25/65,503.50
  6. Step 6: Final answer
    x = 300,733.62

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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.