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Finding the Third Proportional to 72,364 and 155,111

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Solution

The third proportional to 72,364 and 155,111 is: 332,477.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,364 : 155,111 = 155,111 : x
  2. Step 2: Convert to fraction form
    72,364/155,111 = 155,111/x
  3. Step 3: Cross multiply
    72,364x = 155,111 × 155,111
  4. Step 4: Simplify right side
    72,364x = 24,059,422,321
  5. Step 5: Solve for x
    x = 24,059,422,321/72,364
  6. Step 6: Final answer
    x = 332,477.78

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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.