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Finding the Third Proportional to 53,896 and 117,118

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Solution

The third proportional to 53,896 and 117,118 is: 254,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,896 : 117,118 = 117,118 : x
  2. Step 2: Convert to fraction form
    53,896/117,118 = 117,118/x
  3. Step 3: Cross multiply
    53,896x = 117,118 × 117,118
  4. Step 4: Simplify right side
    53,896x = 13,716,625,924
  5. Step 5: Solve for x
    x = 13,716,625,924/53,896
  6. Step 6: Final answer
    x = 254,501.74

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Why These Related Problems?

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