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Finding the Third Proportional to 67,200 and 144,810

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Solution

The third proportional to 67,200 and 144,810 is: 312,052.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,200 : 144,810 = 144,810 : x
  2. Step 2: Convert to fraction form
    67,200/144,810 = 144,810/x
  3. Step 3: Cross multiply
    67,200x = 144,810 × 144,810
  4. Step 4: Simplify right side
    67,200x = 20,969,936,100
  5. Step 5: Solve for x
    x = 20,969,936,100/67,200
  6. Step 6: Final answer
    x = 312,052.62

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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.