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Finding the Third Proportional to 65,480.25 and 140,518.50

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Solution

The third proportional to 65,480.25 and 140,518.50 is: 301,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,480.25 : 140,518.50 = 140,518.50 : x
  2. Step 2: Convert to fraction form
    65,480.25/140,518.50 = 140,518.50/x
  3. Step 3: Cross multiply
    65,480.25x = 140,518.50 × 140,518.50
  4. Step 4: Simplify right side
    65,480.25x = 19,745,448,842.25
  5. Step 5: Solve for x
    x = 19,745,448,842.25/65,480.25
  6. Step 6: Final answer
    x = 301,548.16

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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.