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Finding the Third Proportional to 86,599 and 180,003

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Solution

The third proportional to 86,599 and 180,003 is: 374,150.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,599 : 180,003 = 180,003 : x
  2. Step 2: Convert to fraction form
    86,599/180,003 = 180,003/x
  3. Step 3: Cross multiply
    86,599x = 180,003 × 180,003
  4. Step 4: Simplify right side
    86,599x = 32,401,080,009
  5. Step 5: Solve for x
    x = 32,401,080,009/86,599
  6. Step 6: Final answer
    x = 374,150.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.