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Finding the Third Proportional to 54,566 and 120,603

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Solution

The third proportional to 54,566 and 120,603 is: 266,559.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,566 : 120,603 = 120,603 : x
  2. Step 2: Convert to fraction form
    54,566/120,603 = 120,603/x
  3. Step 3: Cross multiply
    54,566x = 120,603 × 120,603
  4. Step 4: Simplify right side
    54,566x = 14,545,083,609
  5. Step 5: Solve for x
    x = 14,545,083,609/54,566
  6. Step 6: Final answer
    x = 266,559.46

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.