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Finding the Third Proportional to 53,522 and 123,941

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Solution

The third proportional to 53,522 and 123,941 is: 287,010.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,522 : 123,941 = 123,941 : x
  2. Step 2: Convert to fraction form
    53,522/123,941 = 123,941/x
  3. Step 3: Cross multiply
    53,522x = 123,941 × 123,941
  4. Step 4: Simplify right side
    53,522x = 15,361,371,481
  5. Step 5: Solve for x
    x = 15,361,371,481/53,522
  6. Step 6: Final answer
    x = 287,010.42

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.