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Finding the Third Proportional to 136,592 and 184,136

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Solution

The third proportional to 136,592 and 184,136 is: 248,228.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,592 : 184,136 = 184,136 : x
  2. Step 2: Convert to fraction form
    136,592/184,136 = 184,136/x
  3. Step 3: Cross multiply
    136,592x = 184,136 × 184,136
  4. Step 4: Simplify right side
    136,592x = 33,906,066,496
  5. Step 5: Solve for x
    x = 33,906,066,496/136,592
  6. Step 6: Final answer
    x = 248,228.79

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.