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Finding the Third Proportional to 54,258.19 and 84,493.13

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Solution

The third proportional to 54,258.19 and 84,493.13 is: 131,576.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,258.19 : 84,493.13 = 84,493.13 : x
  2. Step 2: Convert to fraction form
    54,258.19/84,493.13 = 84,493.13/x
  3. Step 3: Cross multiply
    54,258.19x = 84,493.13 × 84,493.13
  4. Step 4: Simplify right side
    54,258.19x = 7,139,088,172.27
  5. Step 5: Solve for x
    x = 7,139,088,172.27/54,258.19
  6. Step 6: Final answer
    x = 131,576.24

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.