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Finding the Third Proportional to 71,850.64 and 148,314.48

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Solution

The third proportional to 71,850.64 and 148,314.48 is: 306,151.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,850.64 : 148,314.48 = 148,314.48 : x
  2. Step 2: Convert to fraction form
    71,850.64/148,314.48 = 148,314.48/x
  3. Step 3: Cross multiply
    71,850.64x = 148,314.48 × 148,314.48
  4. Step 4: Simplify right side
    71,850.64x = 21,997,185,116.72
  5. Step 5: Solve for x
    x = 21,997,185,116.72/71,850.64
  6. Step 6: Final answer
    x = 306,151.56

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.