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Finding the Third Proportional to 53,973 and 124,497

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Solution

The third proportional to 53,973 and 124,497 is: 287,171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,973 : 124,497 = 124,497 : x
  2. Step 2: Convert to fraction form
    53,973/124,497 = 124,497/x
  3. Step 3: Cross multiply
    53,973x = 124,497 × 124,497
  4. Step 4: Simplify right side
    53,973x = 15,499,503,009
  5. Step 5: Solve for x
    x = 15,499,503,009/53,973
  6. Step 6: Final answer
    x = 287,171.42

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.