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Finding the Third Proportional to 125,014 and 269,574

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Solution

The third proportional to 125,014 and 269,574 is: 581,296.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,014 : 269,574 = 269,574 : x
  2. Step 2: Convert to fraction form
    125,014/269,574 = 269,574/x
  3. Step 3: Cross multiply
    125,014x = 269,574 × 269,574
  4. Step 4: Simplify right side
    125,014x = 72,670,141,476
  5. Step 5: Solve for x
    x = 72,670,141,476/125,014
  6. Step 6: Final answer
    x = 581,296.03

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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.