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Finding the Third Proportional to 103,275 and 166,272.75

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Solution

The third proportional to 103,275 and 166,272.75 is: 267,699.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,275 : 166,272.75 = 166,272.75 : x
  2. Step 2: Convert to fraction form
    103,275/166,272.75 = 166,272.75/x
  3. Step 3: Cross multiply
    103,275x = 166,272.75 × 166,272.75
  4. Step 4: Simplify right side
    103,275x = 27,646,627,392.56
  5. Step 5: Solve for x
    x = 27,646,627,392.56/103,275
  6. Step 6: Final answer
    x = 267,699.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.