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Finding the Third Proportional to 125,666 and 271,014

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Solution

The third proportional to 125,666 and 271,014 is: 584,474.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,666 : 271,014 = 271,014 : x
  2. Step 2: Convert to fraction form
    125,666/271,014 = 271,014/x
  3. Step 3: Cross multiply
    125,666x = 271,014 × 271,014
  4. Step 4: Simplify right side
    125,666x = 73,448,588,196
  5. Step 5: Solve for x
    x = 73,448,588,196/125,666
  6. Step 6: Final answer
    x = 584,474.62

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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.