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Finding the Third Proportional to 56,228 and 117,652

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Solution

The third proportional to 56,228 and 117,652 is: 246,176.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,228 : 117,652 = 117,652 : x
  2. Step 2: Convert to fraction form
    56,228/117,652 = 117,652/x
  3. Step 3: Cross multiply
    56,228x = 117,652 × 117,652
  4. Step 4: Simplify right side
    56,228x = 13,841,993,104
  5. Step 5: Solve for x
    x = 13,841,993,104/56,228
  6. Step 6: Final answer
    x = 246,176.16

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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.