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Finding the Third Proportional to 125,021 and 269,724

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Solution

The third proportional to 125,021 and 269,724 is: 581,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,021 : 269,724 = 269,724 : x
  2. Step 2: Convert to fraction form
    125,021/269,724 = 269,724/x
  3. Step 3: Cross multiply
    125,021x = 269,724 × 269,724
  4. Step 4: Simplify right side
    125,021x = 72,751,036,176
  5. Step 5: Solve for x
    x = 72,751,036,176/125,021
  6. Step 6: Final answer
    x = 581,910.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.