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Finding the Third Proportional to 126,819 and 233,127

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Solution

The third proportional to 126,819 and 233,127 is: 428,549.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,819 : 233,127 = 233,127 : x
  2. Step 2: Convert to fraction form
    126,819/233,127 = 233,127/x
  3. Step 3: Cross multiply
    126,819x = 233,127 × 233,127
  4. Step 4: Simplify right side
    126,819x = 54,348,198,129
  5. Step 5: Solve for x
    x = 54,348,198,129/126,819
  6. Step 6: Final answer
    x = 428,549.34

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.