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Finding the Third Proportional to 56,646.56 and 132,301.41

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Solution

The third proportional to 56,646.56 and 132,301.41 is: 308,997.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646.56 : 132,301.41 = 132,301.41 : x
  2. Step 2: Convert to fraction form
    56,646.56/132,301.41 = 132,301.41/x
  3. Step 3: Cross multiply
    56,646.56x = 132,301.41 × 132,301.41
  4. Step 4: Simplify right side
    56,646.56x = 17,503,662,095.73
  5. Step 5: Solve for x
    x = 17,503,662,095.73/56,646.56
  6. Step 6: Final answer
    x = 308,997.78

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.