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Finding the Third Proportional to 53,926 and 117,014

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Solution

The third proportional to 53,926 and 117,014 is: 253,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,926 : 117,014 = 117,014 : x
  2. Step 2: Convert to fraction form
    53,926/117,014 = 117,014/x
  3. Step 3: Cross multiply
    53,926x = 117,014 × 117,014
  4. Step 4: Simplify right side
    53,926x = 13,692,276,196
  5. Step 5: Solve for x
    x = 13,692,276,196/53,926
  6. Step 6: Final answer
    x = 253,908.62

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.