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Finding the Third Proportional to 121,083 and 263,964

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Solution

The third proportional to 121,083 and 263,964 is: 575,448.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,083 : 263,964 = 263,964 : x
  2. Step 2: Convert to fraction form
    121,083/263,964 = 263,964/x
  3. Step 3: Cross multiply
    121,083x = 263,964 × 263,964
  4. Step 4: Simplify right side
    121,083x = 69,676,993,296
  5. Step 5: Solve for x
    x = 69,676,993,296/121,083
  6. Step 6: Final answer
    x = 575,448.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.