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Finding the Third Proportional to 72,125 and 153,628

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Solution

The third proportional to 72,125 and 153,628 is: 327,231.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,125 : 153,628 = 153,628 : x
  2. Step 2: Convert to fraction form
    72,125/153,628 = 153,628/x
  3. Step 3: Cross multiply
    72,125x = 153,628 × 153,628
  4. Step 4: Simplify right side
    72,125x = 23,601,562,384
  5. Step 5: Solve for x
    x = 23,601,562,384/72,125
  6. Step 6: Final answer
    x = 327,231.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.