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Finding the Third Proportional to 56,343 and 119,867

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Solution

The third proportional to 56,343 and 119,867 is: 255,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,343 : 119,867 = 119,867 : x
  2. Step 2: Convert to fraction form
    56,343/119,867 = 119,867/x
  3. Step 3: Cross multiply
    56,343x = 119,867 × 119,867
  4. Step 4: Simplify right side
    56,343x = 14,368,097,689
  5. Step 5: Solve for x
    x = 14,368,097,689/56,343
  6. Step 6: Final answer
    x = 255,011.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.