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Finding the Third Proportional to 89,026 and 208,069

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Solution

The third proportional to 89,026 and 208,069 is: 486,292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,026 : 208,069 = 208,069 : x
  2. Step 2: Convert to fraction form
    89,026/208,069 = 208,069/x
  3. Step 3: Cross multiply
    89,026x = 208,069 × 208,069
  4. Step 4: Simplify right side
    89,026x = 43,292,708,761
  5. Step 5: Solve for x
    x = 43,292,708,761/89,026
  6. Step 6: Final answer
    x = 486,292.87

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.