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Finding the Third Proportional to 152,910 and 182,890

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Solution

The third proportional to 152,910 and 182,890 is: 218,747.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,910 : 182,890 = 182,890 : x
  2. Step 2: Convert to fraction form
    152,910/182,890 = 182,890/x
  3. Step 3: Cross multiply
    152,910x = 182,890 × 182,890
  4. Step 4: Simplify right side
    152,910x = 33,448,752,100
  5. Step 5: Solve for x
    x = 33,448,752,100/152,910
  6. Step 6: Final answer
    x = 218,747.97

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.