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Finding the Third Proportional to 72,144 and 154,260

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Solution

The third proportional to 72,144 and 154,260 is: 329,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,144 : 154,260 = 154,260 : x
  2. Step 2: Convert to fraction form
    72,144/154,260 = 154,260/x
  3. Step 3: Cross multiply
    72,144x = 154,260 × 154,260
  4. Step 4: Simplify right side
    72,144x = 23,796,147,600
  5. Step 5: Solve for x
    x = 23,796,147,600/72,144
  6. Step 6: Final answer
    x = 329,842.37

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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.