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Finding the Third Proportional to 72,118 and 154,200

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Solution

The third proportional to 72,118 and 154,200 is: 329,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,118 : 154,200 = 154,200 : x
  2. Step 2: Convert to fraction form
    72,118/154,200 = 154,200/x
  3. Step 3: Cross multiply
    72,118x = 154,200 × 154,200
  4. Step 4: Simplify right side
    72,118x = 23,777,640,000
  5. Step 5: Solve for x
    x = 23,777,640,000/72,118
  6. Step 6: Final answer
    x = 329,704.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.