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Finding the Third Proportional to 72,616 and 104,028

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Solution

The third proportional to 72,616 and 104,028 is: 149,028.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,616 : 104,028 = 104,028 : x
  2. Step 2: Convert to fraction form
    72,616/104,028 = 104,028/x
  3. Step 3: Cross multiply
    72,616x = 104,028 × 104,028
  4. Step 4: Simplify right side
    72,616x = 10,821,824,784
  5. Step 5: Solve for x
    x = 10,821,824,784/72,616
  6. Step 6: Final answer
    x = 149,028.10

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.