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Finding the Third Proportional to 125,614 and 273,043

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Solution

The third proportional to 125,614 and 273,043 is: 593,504.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,614 : 273,043 = 273,043 : x
  2. Step 2: Convert to fraction form
    125,614/273,043 = 273,043/x
  3. Step 3: Cross multiply
    125,614x = 273,043 × 273,043
  4. Step 4: Simplify right side
    125,614x = 74,552,479,849
  5. Step 5: Solve for x
    x = 74,552,479,849/125,614
  6. Step 6: Final answer
    x = 593,504.54

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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.