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Finding the Third Proportional to 125,570 and 275,926

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Solution

The third proportional to 125,570 and 275,926 is: 606,316.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,570 : 275,926 = 275,926 : x
  2. Step 2: Convert to fraction form
    125,570/275,926 = 275,926/x
  3. Step 3: Cross multiply
    125,570x = 275,926 × 275,926
  4. Step 4: Simplify right side
    125,570x = 76,135,157,476
  5. Step 5: Solve for x
    x = 76,135,157,476/125,570
  6. Step 6: Final answer
    x = 606,316.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.