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Finding the Third Proportional to 56,106 and 120,958

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Solution

The third proportional to 56,106 and 120,958 is: 260,771.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,106 : 120,958 = 120,958 : x
  2. Step 2: Convert to fraction form
    56,106/120,958 = 120,958/x
  3. Step 3: Cross multiply
    56,106x = 120,958 × 120,958
  4. Step 4: Simplify right side
    56,106x = 14,630,837,764
  5. Step 5: Solve for x
    x = 14,630,837,764/56,106
  6. Step 6: Final answer
    x = 260,771.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.