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Finding the Third Proportional to 67,854 and 144,725.25

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Solution

The third proportional to 67,854 and 144,725.25 is: 308,683.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,854 : 144,725.25 = 144,725.25 : x
  2. Step 2: Convert to fraction form
    67,854/144,725.25 = 144,725.25/x
  3. Step 3: Cross multiply
    67,854x = 144,725.25 × 144,725.25
  4. Step 4: Simplify right side
    67,854x = 20,945,397,987.56
  5. Step 5: Solve for x
    x = 20,945,397,987.56/67,854
  6. Step 6: Final answer
    x = 308,683.32

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.