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Finding the Third Proportional to 67,052.25 and 143,840.25

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Solution

The third proportional to 67,052.25 and 143,840.25 is: 308,565.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,052.25 : 143,840.25 = 143,840.25 : x
  2. Step 2: Convert to fraction form
    67,052.25/143,840.25 = 143,840.25/x
  3. Step 3: Cross multiply
    67,052.25x = 143,840.25 × 143,840.25
  4. Step 4: Simplify right side
    67,052.25x = 20,690,017,520.06
  5. Step 5: Solve for x
    x = 20,690,017,520.06/67,052.25
  6. Step 6: Final answer
    x = 308,565.60

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Why These Related Problems?

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