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Finding the Third Proportional to 125,856 and 257,544

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Solution

The third proportional to 125,856 and 257,544 is: 527,022.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,856 : 257,544 = 257,544 : x
  2. Step 2: Convert to fraction form
    125,856/257,544 = 257,544/x
  3. Step 3: Cross multiply
    125,856x = 257,544 × 257,544
  4. Step 4: Simplify right side
    125,856x = 66,328,911,936
  5. Step 5: Solve for x
    x = 66,328,911,936/125,856
  6. Step 6: Final answer
    x = 527,022.25

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.