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Finding the Third Proportional to 128,125 and 275,933

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Solution

The third proportional to 128,125 and 275,933 is: 594,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,125 : 275,933 = 275,933 : x
  2. Step 2: Convert to fraction form
    128,125/275,933 = 275,933/x
  3. Step 3: Cross multiply
    128,125x = 275,933 × 275,933
  4. Step 4: Simplify right side
    128,125x = 76,139,020,489
  5. Step 5: Solve for x
    x = 76,139,020,489/128,125
  6. Step 6: Final answer
    x = 594,255.77

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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.