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Finding the Third Proportional to 118,728 and 184,501

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Solution

The third proportional to 118,728 and 184,501 is: 286,710.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,728 : 184,501 = 184,501 : x
  2. Step 2: Convert to fraction form
    118,728/184,501 = 184,501/x
  3. Step 3: Cross multiply
    118,728x = 184,501 × 184,501
  4. Step 4: Simplify right side
    118,728x = 34,040,619,001
  5. Step 5: Solve for x
    x = 34,040,619,001/118,728
  6. Step 6: Final answer
    x = 286,710.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.