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Finding the Third Proportional to 125,013 and 269,573

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Solution

The third proportional to 125,013 and 269,573 is: 581,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,013 : 269,573 = 269,573 : x
  2. Step 2: Convert to fraction form
    125,013/269,573 = 269,573/x
  3. Step 3: Cross multiply
    125,013x = 269,573 × 269,573
  4. Step 4: Simplify right side
    125,013x = 72,669,602,329
  5. Step 5: Solve for x
    x = 72,669,602,329/125,013
  6. Step 6: Final answer
    x = 581,296.36

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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.