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Finding the Third Proportional to 53,524 and 117,641

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Solution

The third proportional to 53,524 and 117,641 is: 258,564.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,524 : 117,641 = 117,641 : x
  2. Step 2: Convert to fraction form
    53,524/117,641 = 117,641/x
  3. Step 3: Cross multiply
    53,524x = 117,641 × 117,641
  4. Step 4: Simplify right side
    53,524x = 13,839,404,881
  5. Step 5: Solve for x
    x = 13,839,404,881/53,524
  6. Step 6: Final answer
    x = 258,564.47

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.