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Finding the Third Proportional to 72,675 and 154,145

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Solution

The third proportional to 72,675 and 154,145 is: 326,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,675 : 154,145 = 154,145 : x
  2. Step 2: Convert to fraction form
    72,675/154,145 = 154,145/x
  3. Step 3: Cross multiply
    72,675x = 154,145 × 154,145
  4. Step 4: Simplify right side
    72,675x = 23,760,681,025
  5. Step 5: Solve for x
    x = 23,760,681,025/72,675
  6. Step 6: Final answer
    x = 326,944.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.