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Finding the Third Proportional to 125,699 and 273,214

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Solution

The third proportional to 125,699 and 273,214 is: 593,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,699 : 273,214 = 273,214 : x
  2. Step 2: Convert to fraction form
    125,699/273,214 = 273,214/x
  3. Step 3: Cross multiply
    125,699x = 273,214 × 273,214
  4. Step 4: Simplify right side
    125,699x = 74,645,889,796
  5. Step 5: Solve for x
    x = 74,645,889,796/125,699
  6. Step 6: Final answer
    x = 593,846.33

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.