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Finding the Third Proportional to 125,774 and 190,282

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Solution

The third proportional to 125,774 and 190,282 is: 287,875.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,774 : 190,282 = 190,282 : x
  2. Step 2: Convert to fraction form
    125,774/190,282 = 190,282/x
  3. Step 3: Cross multiply
    125,774x = 190,282 × 190,282
  4. Step 4: Simplify right side
    125,774x = 36,207,239,524
  5. Step 5: Solve for x
    x = 36,207,239,524/125,774
  6. Step 6: Final answer
    x = 287,875.39

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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.