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Finding the Third Proportional to 53,698 and 124,824

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Solution

The third proportional to 53,698 and 124,824 is: 290,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,698 : 124,824 = 124,824 : x
  2. Step 2: Convert to fraction form
    53,698/124,824 = 124,824/x
  3. Step 3: Cross multiply
    53,698x = 124,824 × 124,824
  4. Step 4: Simplify right side
    53,698x = 15,581,030,976
  5. Step 5: Solve for x
    x = 15,581,030,976/53,698
  6. Step 6: Final answer
    x = 290,160.36

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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.