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Finding the Third Proportional to 128,418 and 188,910

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Solution

The third proportional to 128,418 and 188,910 is: 277,897.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,418 : 188,910 = 188,910 : x
  2. Step 2: Convert to fraction form
    128,418/188,910 = 188,910/x
  3. Step 3: Cross multiply
    128,418x = 188,910 × 188,910
  4. Step 4: Simplify right side
    128,418x = 35,686,988,100
  5. Step 5: Solve for x
    x = 35,686,988,100/128,418
  6. Step 6: Final answer
    x = 277,897.09

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.