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Finding the Third Proportional to 125,109 and 268,321

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Solution

The third proportional to 125,109 and 268,321 is: 575,467.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,109 : 268,321 = 268,321 : x
  2. Step 2: Convert to fraction form
    125,109/268,321 = 268,321/x
  3. Step 3: Cross multiply
    125,109x = 268,321 × 268,321
  4. Step 4: Simplify right side
    125,109x = 71,996,159,041
  5. Step 5: Solve for x
    x = 71,996,159,041/125,109
  6. Step 6: Final answer
    x = 575,467.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.