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Finding the Third Proportional to 127,010 and 275,908

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Solution

The third proportional to 127,010 and 275,908 is: 599,364.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,010 : 275,908 = 275,908 : x
  2. Step 2: Convert to fraction form
    127,010/275,908 = 275,908/x
  3. Step 3: Cross multiply
    127,010x = 275,908 × 275,908
  4. Step 4: Simplify right side
    127,010x = 76,125,224,464
  5. Step 5: Solve for x
    x = 76,125,224,464/127,010
  6. Step 6: Final answer
    x = 599,364.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.