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Finding the Third Proportional to 74,778.56 and 160,066.88

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Solution

The third proportional to 74,778.56 and 160,066.88 is: 342,630.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,778.56 : 160,066.88 = 160,066.88 : x
  2. Step 2: Convert to fraction form
    74,778.56/160,066.88 = 160,066.88/x
  3. Step 3: Cross multiply
    74,778.56x = 160,066.88 × 160,066.88
  4. Step 4: Simplify right side
    74,778.56x = 25,621,404,472.27
  5. Step 5: Solve for x
    x = 25,621,404,472.27/74,778.56
  6. Step 6: Final answer
    x = 342,630.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.