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Finding the Third Proportional to 126,413 and 273,071

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Solution

The third proportional to 126,413 and 273,071 is: 589,874.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,413 : 273,071 = 273,071 : x
  2. Step 2: Convert to fraction form
    126,413/273,071 = 273,071/x
  3. Step 3: Cross multiply
    126,413x = 273,071 × 273,071
  4. Step 4: Simplify right side
    126,413x = 74,567,771,041
  5. Step 5: Solve for x
    x = 74,567,771,041/126,413
  6. Step 6: Final answer
    x = 589,874.23

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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.