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Finding the Third Proportional to 56,936 and 90,956

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Solution

The third proportional to 56,936 and 90,956 is: 145,303.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,936 : 90,956 = 90,956 : x
  2. Step 2: Convert to fraction form
    56,936/90,956 = 90,956/x
  3. Step 3: Cross multiply
    56,936x = 90,956 × 90,956
  4. Step 4: Simplify right side
    56,936x = 8,272,993,936
  5. Step 5: Solve for x
    x = 8,272,993,936/56,936
  6. Step 6: Final answer
    x = 145,303.39

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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.