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Finding the Third Proportional to 65,191.50 and 140,132.25

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Solution

The third proportional to 65,191.50 and 140,132.25 is: 301,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,191.50 : 140,132.25 = 140,132.25 : x
  2. Step 2: Convert to fraction form
    65,191.50/140,132.25 = 140,132.25/x
  3. Step 3: Cross multiply
    65,191.50x = 140,132.25 × 140,132.25
  4. Step 4: Simplify right side
    65,191.50x = 19,637,047,490.06
  5. Step 5: Solve for x
    x = 19,637,047,490.06/65,191.50
  6. Step 6: Final answer
    x = 301,220.98

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.