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Finding the Third Proportional to 125,104 and 255,300

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Solution

The third proportional to 125,104 and 255,300 is: 520,991.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,104 : 255,300 = 255,300 : x
  2. Step 2: Convert to fraction form
    125,104/255,300 = 255,300/x
  3. Step 3: Cross multiply
    125,104x = 255,300 × 255,300
  4. Step 4: Simplify right side
    125,104x = 65,178,090,000
  5. Step 5: Solve for x
    x = 65,178,090,000/125,104
  6. Step 6: Final answer
    x = 520,991.26

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.