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Finding the Third Proportional to 75,949 and 117,903

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Solution

The third proportional to 75,949 and 117,903 is: 183,032.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,949 : 117,903 = 117,903 : x
  2. Step 2: Convert to fraction form
    75,949/117,903 = 117,903/x
  3. Step 3: Cross multiply
    75,949x = 117,903 × 117,903
  4. Step 4: Simplify right side
    75,949x = 13,901,117,409
  5. Step 5: Solve for x
    x = 13,901,117,409/75,949
  6. Step 6: Final answer
    x = 183,032.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.