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Finding the Third Proportional to 103,695 and 140,708

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Solution

The third proportional to 103,695 and 140,708 is: 190,932.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,695 : 140,708 = 140,708 : x
  2. Step 2: Convert to fraction form
    103,695/140,708 = 140,708/x
  3. Step 3: Cross multiply
    103,695x = 140,708 × 140,708
  4. Step 4: Simplify right side
    103,695x = 19,798,741,264
  5. Step 5: Solve for x
    x = 19,798,741,264/103,695
  6. Step 6: Final answer
    x = 190,932.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.