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Finding the Third Proportional to 72,622 and 151,895

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Solution

The third proportional to 72,622 and 151,895 is: 317,701.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,622 : 151,895 = 151,895 : x
  2. Step 2: Convert to fraction form
    72,622/151,895 = 151,895/x
  3. Step 3: Cross multiply
    72,622x = 151,895 × 151,895
  4. Step 4: Simplify right side
    72,622x = 23,072,091,025
  5. Step 5: Solve for x
    x = 23,072,091,025/72,622
  6. Step 6: Final answer
    x = 317,701.12

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.