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Finding the Third Proportional to 125,556 and 271,029

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Solution

The third proportional to 125,556 and 271,029 is: 585,051.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,556 : 271,029 = 271,029 : x
  2. Step 2: Convert to fraction form
    125,556/271,029 = 271,029/x
  3. Step 3: Cross multiply
    125,556x = 271,029 × 271,029
  4. Step 4: Simplify right side
    125,556x = 73,456,718,841
  5. Step 5: Solve for x
    x = 73,456,718,841/125,556
  6. Step 6: Final answer
    x = 585,051.44

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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.