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Finding the Third Proportional to 88,136 and 171,844

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Solution

The third proportional to 88,136 and 171,844 is: 335,054.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,136 : 171,844 = 171,844 : x
  2. Step 2: Convert to fraction form
    88,136/171,844 = 171,844/x
  3. Step 3: Cross multiply
    88,136x = 171,844 × 171,844
  4. Step 4: Simplify right side
    88,136x = 29,530,360,336
  5. Step 5: Solve for x
    x = 29,530,360,336/88,136
  6. Step 6: Final answer
    x = 335,054.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.