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Finding the Third Proportional to 56,056 and 117,308

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Solution

The third proportional to 56,056 and 117,308 is: 245,489.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,056 : 117,308 = 117,308 : x
  2. Step 2: Convert to fraction form
    56,056/117,308 = 117,308/x
  3. Step 3: Cross multiply
    56,056x = 117,308 × 117,308
  4. Step 4: Simplify right side
    56,056x = 13,761,166,864
  5. Step 5: Solve for x
    x = 13,761,166,864/56,056
  6. Step 6: Final answer
    x = 245,489.63

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.