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Finding the Third Proportional to 55,081 and 118,910

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Solution

The third proportional to 55,081 and 118,910 is: 256,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,081 : 118,910 = 118,910 : x
  2. Step 2: Convert to fraction form
    55,081/118,910 = 118,910/x
  3. Step 3: Cross multiply
    55,081x = 118,910 × 118,910
  4. Step 4: Simplify right side
    55,081x = 14,139,588,100
  5. Step 5: Solve for x
    x = 14,139,588,100/55,081
  6. Step 6: Final answer
    x = 256,705.36

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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.