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Finding the Third Proportional to 56,886 and 90,873

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Solution

The third proportional to 56,886 and 90,873 is: 145,165.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,886 : 90,873 = 90,873 : x
  2. Step 2: Convert to fraction form
    56,886/90,873 = 90,873/x
  3. Step 3: Cross multiply
    56,886x = 90,873 × 90,873
  4. Step 4: Simplify right side
    56,886x = 8,257,902,129
  5. Step 5: Solve for x
    x = 8,257,902,129/56,886
  6. Step 6: Final answer
    x = 145,165.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.