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Finding the Third Proportional to 125,226 and 274,140

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Solution

The third proportional to 125,226 and 274,140 is: 600,136.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,226 : 274,140 = 274,140 : x
  2. Step 2: Convert to fraction form
    125,226/274,140 = 274,140/x
  3. Step 3: Cross multiply
    125,226x = 274,140 × 274,140
  4. Step 4: Simplify right side
    125,226x = 75,152,739,600
  5. Step 5: Solve for x
    x = 75,152,739,600/125,226
  6. Step 6: Final answer
    x = 600,136.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.