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Finding the Third Proportional to 75,940 and 116,886

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Solution

The third proportional to 75,940 and 116,886 is: 179,909.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,940 : 116,886 = 116,886 : x
  2. Step 2: Convert to fraction form
    75,940/116,886 = 116,886/x
  3. Step 3: Cross multiply
    75,940x = 116,886 × 116,886
  4. Step 4: Simplify right side
    75,940x = 13,662,336,996
  5. Step 5: Solve for x
    x = 13,662,336,996/75,940
  6. Step 6: Final answer
    x = 179,909.63

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.