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Finding the Third Proportional to 72,784 and 115,736

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Solution

The third proportional to 72,784 and 115,736 is: 184,035.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,784 : 115,736 = 115,736 : x
  2. Step 2: Convert to fraction form
    72,784/115,736 = 115,736/x
  3. Step 3: Cross multiply
    72,784x = 115,736 × 115,736
  4. Step 4: Simplify right side
    72,784x = 13,394,821,696
  5. Step 5: Solve for x
    x = 13,394,821,696/72,784
  6. Step 6: Final answer
    x = 184,035.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.