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Finding the Third Proportional to 75,258.56 and 103,199.34

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Solution

The third proportional to 75,258.56 and 103,199.34 is: 141,513.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,258.56 : 103,199.34 = 103,199.34 : x
  2. Step 2: Convert to fraction form
    75,258.56/103,199.34 = 103,199.34/x
  3. Step 3: Cross multiply
    75,258.56x = 103,199.34 × 103,199.34
  4. Step 4: Simplify right side
    75,258.56x = 10,650,104,550.43
  5. Step 5: Solve for x
    x = 10,650,104,550.43/75,258.56
  6. Step 6: Final answer
    x = 141,513.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.