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Finding the Third Proportional to 75,185.72 and 102,139.31

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Solution

The third proportional to 75,185.72 and 102,139.31 is: 138,755.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,185.72 : 102,139.31 = 102,139.31 : x
  2. Step 2: Convert to fraction form
    75,185.72/102,139.31 = 102,139.31/x
  3. Step 3: Cross multiply
    75,185.72x = 102,139.31 × 102,139.31
  4. Step 4: Simplify right side
    75,185.72x = 10,432,439,157.97
  5. Step 5: Solve for x
    x = 10,432,439,157.97/75,185.72
  6. Step 6: Final answer
    x = 138,755.60

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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.