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Finding the Third Proportional to 75,294.56 and 163,707.75

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Solution

The third proportional to 75,294.56 and 163,707.75 is: 355,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.56 : 163,707.75 = 163,707.75 : x
  2. Step 2: Convert to fraction form
    75,294.56/163,707.75 = 163,707.75/x
  3. Step 3: Cross multiply
    75,294.56x = 163,707.75 × 163,707.75
  4. Step 4: Simplify right side
    75,294.56x = 26,800,227,410.06
  5. Step 5: Solve for x
    x = 26,800,227,410.06/75,294.56
  6. Step 6: Final answer
    x = 355,938.42

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.