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Finding the Third Proportional to 125,441 and 271,329

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Solution

The third proportional to 125,441 and 271,329 is: 586,884.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,441 : 271,329 = 271,329 : x
  2. Step 2: Convert to fraction form
    125,441/271,329 = 271,329/x
  3. Step 3: Cross multiply
    125,441x = 271,329 × 271,329
  4. Step 4: Simplify right side
    125,441x = 73,619,426,241
  5. Step 5: Solve for x
    x = 73,619,426,241/125,441
  6. Step 6: Final answer
    x = 586,884.88

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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.