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Finding the Third Proportional to 53,739 and 117,036

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Solution

The third proportional to 53,739 and 117,036 is: 254,887.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,739 : 117,036 = 117,036 : x
  2. Step 2: Convert to fraction form
    53,739/117,036 = 117,036/x
  3. Step 3: Cross multiply
    53,739x = 117,036 × 117,036
  4. Step 4: Simplify right side
    53,739x = 13,697,425,296
  5. Step 5: Solve for x
    x = 13,697,425,296/53,739
  6. Step 6: Final answer
    x = 254,887.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.