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Finding the Third Proportional to 86,907 and 183,157

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Solution

The third proportional to 86,907 and 183,157 is: 386,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,907 : 183,157 = 183,157 : x
  2. Step 2: Convert to fraction form
    86,907/183,157 = 183,157/x
  3. Step 3: Cross multiply
    86,907x = 183,157 × 183,157
  4. Step 4: Simplify right side
    86,907x = 33,546,486,649
  5. Step 5: Solve for x
    x = 33,546,486,649/86,907
  6. Step 6: Final answer
    x = 386,004.43

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.