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Finding the Third Proportional to 86,663 and 180,130

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Solution

The third proportional to 86,663 and 180,130 is: 374,402.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,663 : 180,130 = 180,130 : x
  2. Step 2: Convert to fraction form
    86,663/180,130 = 180,130/x
  3. Step 3: Cross multiply
    86,663x = 180,130 × 180,130
  4. Step 4: Simplify right side
    86,663x = 32,446,816,900
  5. Step 5: Solve for x
    x = 32,446,816,900/86,663
  6. Step 6: Final answer
    x = 374,402.19

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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.