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Finding the Third Proportional to 55,424 and 118,723

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Solution

The third proportional to 55,424 and 118,723 is: 254,314.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,424 : 118,723 = 118,723 : x
  2. Step 2: Convert to fraction form
    55,424/118,723 = 118,723/x
  3. Step 3: Cross multiply
    55,424x = 118,723 × 118,723
  4. Step 4: Simplify right side
    55,424x = 14,095,150,729
  5. Step 5: Solve for x
    x = 14,095,150,729/55,424
  6. Step 6: Final answer
    x = 254,314.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.