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Finding the Third Proportional to 125,212 and 271,655

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Solution

The third proportional to 125,212 and 271,655 is: 589,371.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,212 : 271,655 = 271,655 : x
  2. Step 2: Convert to fraction form
    125,212/271,655 = 271,655/x
  3. Step 3: Cross multiply
    125,212x = 271,655 × 271,655
  4. Step 4: Simplify right side
    125,212x = 73,796,439,025
  5. Step 5: Solve for x
    x = 73,796,439,025/125,212
  6. Step 6: Final answer
    x = 589,371.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.