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Finding the Third Proportional to 158,081 and 241,136

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Solution

The third proportional to 158,081 and 241,136 is: 367,827.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,081 : 241,136 = 241,136 : x
  2. Step 2: Convert to fraction form
    158,081/241,136 = 241,136/x
  3. Step 3: Cross multiply
    158,081x = 241,136 × 241,136
  4. Step 4: Simplify right side
    158,081x = 58,146,570,496
  5. Step 5: Solve for x
    x = 58,146,570,496/158,081
  6. Step 6: Final answer
    x = 367,827.70

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.