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Finding the Third Proportional to 56,005 and 121,036

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Solution

The third proportional to 56,005 and 121,036 is: 261,578.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,005 : 121,036 = 121,036 : x
  2. Step 2: Convert to fraction form
    56,005/121,036 = 121,036/x
  3. Step 3: Cross multiply
    56,005x = 121,036 × 121,036
  4. Step 4: Simplify right side
    56,005x = 14,649,713,296
  5. Step 5: Solve for x
    x = 14,649,713,296/56,005
  6. Step 6: Final answer
    x = 261,578.67

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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.