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Finding the Third Proportional to 125,690 and 271,063

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Solution

The third proportional to 125,690 and 271,063 is: 584,574.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,690 : 271,063 = 271,063 : x
  2. Step 2: Convert to fraction form
    125,690/271,063 = 271,063/x
  3. Step 3: Cross multiply
    125,690x = 271,063 × 271,063
  4. Step 4: Simplify right side
    125,690x = 73,475,149,969
  5. Step 5: Solve for x
    x = 73,475,149,969/125,690
  6. Step 6: Final answer
    x = 584,574.35

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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.