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Finding the Third Proportional to 56,124 and 122,804

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Solution

The third proportional to 56,124 and 122,804 is: 268,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,124 : 122,804 = 122,804 : x
  2. Step 2: Convert to fraction form
    56,124/122,804 = 122,804/x
  3. Step 3: Cross multiply
    56,124x = 122,804 × 122,804
  4. Step 4: Simplify right side
    56,124x = 15,080,822,416
  5. Step 5: Solve for x
    x = 15,080,822,416/56,124
  6. Step 6: Final answer
    x = 268,705.41

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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.