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Finding the Third Proportional to 125,454 and 269,100

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Solution

The third proportional to 125,454 and 269,100 is: 577,222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,454 : 269,100 = 269,100 : x
  2. Step 2: Convert to fraction form
    125,454/269,100 = 269,100/x
  3. Step 3: Cross multiply
    125,454x = 269,100 × 269,100
  4. Step 4: Simplify right side
    125,454x = 72,414,810,000
  5. Step 5: Solve for x
    x = 72,414,810,000/125,454
  6. Step 6: Final answer
    x = 577,222.01

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.