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Finding the Third Proportional to 103,674 and 140,677

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Solution

The third proportional to 103,674 and 140,677 is: 190,887.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,674 : 140,677 = 140,677 : x
  2. Step 2: Convert to fraction form
    103,674/140,677 = 140,677/x
  3. Step 3: Cross multiply
    103,674x = 140,677 × 140,677
  4. Step 4: Simplify right side
    103,674x = 19,790,018,329
  5. Step 5: Solve for x
    x = 19,790,018,329/103,674
  6. Step 6: Final answer
    x = 190,887.00

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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.