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Finding the Third Proportional to 56,112 and 122,955

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Solution

The third proportional to 56,112 and 122,955 is: 269,424.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,112 : 122,955 = 122,955 : x
  2. Step 2: Convert to fraction form
    56,112/122,955 = 122,955/x
  3. Step 3: Cross multiply
    56,112x = 122,955 × 122,955
  4. Step 4: Simplify right side
    56,112x = 15,117,932,025
  5. Step 5: Solve for x
    x = 15,117,932,025/56,112
  6. Step 6: Final answer
    x = 269,424.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.