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Finding the Third Proportional to 125,846 and 256,106

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Solution

The third proportional to 125,846 and 256,106 is: 521,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,846 : 256,106 = 256,106 : x
  2. Step 2: Convert to fraction form
    125,846/256,106 = 256,106/x
  3. Step 3: Cross multiply
    125,846x = 256,106 × 256,106
  4. Step 4: Simplify right side
    125,846x = 65,590,283,236
  5. Step 5: Solve for x
    x = 65,590,283,236/125,846
  6. Step 6: Final answer
    x = 521,194.82

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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.