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Finding the Third Proportional to 116,669 and 127,037

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Solution

The third proportional to 116,669 and 127,037 is: 138,326.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,669 : 127,037 = 127,037 : x
  2. Step 2: Convert to fraction form
    116,669/127,037 = 127,037/x
  3. Step 3: Cross multiply
    116,669x = 127,037 × 127,037
  4. Step 4: Simplify right side
    116,669x = 16,138,399,369
  5. Step 5: Solve for x
    x = 16,138,399,369/116,669
  6. Step 6: Final answer
    x = 138,326.37

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.