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Finding the Third Proportional to 125,158 and 260,671

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Solution

The third proportional to 125,158 and 260,671 is: 542,908.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,158 : 260,671 = 260,671 : x
  2. Step 2: Convert to fraction form
    125,158/260,671 = 260,671/x
  3. Step 3: Cross multiply
    125,158x = 260,671 × 260,671
  4. Step 4: Simplify right side
    125,158x = 67,949,370,241
  5. Step 5: Solve for x
    x = 67,949,370,241/125,158
  6. Step 6: Final answer
    x = 542,908.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.