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Finding the Third Proportional to 128,071 and 275,870

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Solution

The third proportional to 128,071 and 275,870 is: 594,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,071 : 275,870 = 275,870 : x
  2. Step 2: Convert to fraction form
    128,071/275,870 = 275,870/x
  3. Step 3: Cross multiply
    128,071x = 275,870 × 275,870
  4. Step 4: Simplify right side
    128,071x = 76,104,256,900
  5. Step 5: Solve for x
    x = 76,104,256,900/128,071
  6. Step 6: Final answer
    x = 594,234.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.