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Finding the Third Proportional to 125,559 and 271,035

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Solution

The third proportional to 125,559 and 271,035 is: 585,063.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,559 : 271,035 = 271,035 : x
  2. Step 2: Convert to fraction form
    125,559/271,035 = 271,035/x
  3. Step 3: Cross multiply
    125,559x = 271,035 × 271,035
  4. Step 4: Simplify right side
    125,559x = 73,459,971,225
  5. Step 5: Solve for x
    x = 73,459,971,225/125,559
  6. Step 6: Final answer
    x = 585,063.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.