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Finding the Third Proportional to 125,729 and 271,141

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Solution

The third proportional to 125,729 and 271,141 is: 584,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,729 : 271,141 = 271,141 : x
  2. Step 2: Convert to fraction form
    125,729/271,141 = 271,141/x
  3. Step 3: Cross multiply
    125,729x = 271,141 × 271,141
  4. Step 4: Simplify right side
    125,729x = 73,517,441,881
  5. Step 5: Solve for x
    x = 73,517,441,881/125,729
  6. Step 6: Final answer
    x = 584,729.39

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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.