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Finding the Third Proportional to 56,144 and 121,196

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Solution

The third proportional to 56,144 and 121,196 is: 261,621.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,144 : 121,196 = 121,196 : x
  2. Step 2: Convert to fraction form
    56,144/121,196 = 121,196/x
  3. Step 3: Cross multiply
    56,144x = 121,196 × 121,196
  4. Step 4: Simplify right side
    56,144x = 14,688,470,416
  5. Step 5: Solve for x
    x = 14,688,470,416/56,144
  6. Step 6: Final answer
    x = 261,621.37

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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.