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Finding the Third Proportional to 103,685 and 140,693

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Solution

The third proportional to 103,685 and 140,693 is: 190,910.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,685 : 140,693 = 140,693 : x
  2. Step 2: Convert to fraction form
    103,685/140,693 = 140,693/x
  3. Step 3: Cross multiply
    103,685x = 140,693 × 140,693
  4. Step 4: Simplify right side
    103,685x = 19,794,520,249
  5. Step 5: Solve for x
    x = 19,794,520,249/103,685
  6. Step 6: Final answer
    x = 190,910.16

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