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Finding the Third Proportional to 125,762 and 190,267

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Solution

The third proportional to 125,762 and 190,267 is: 287,857.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,762 : 190,267 = 190,267 : x
  2. Step 2: Convert to fraction form
    125,762/190,267 = 190,267/x
  3. Step 3: Cross multiply
    125,762x = 190,267 × 190,267
  4. Step 4: Simplify right side
    125,762x = 36,201,531,289
  5. Step 5: Solve for x
    x = 36,201,531,289/125,762
  6. Step 6: Final answer
    x = 287,857.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.