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Finding the Third Proportional to 54,430.31 and 82,465.59

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Solution

The third proportional to 54,430.31 and 82,465.59 is: 124,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,430.31 : 82,465.59 = 82,465.59 : x
  2. Step 2: Convert to fraction form
    54,430.31/82,465.59 = 82,465.59/x
  3. Step 3: Cross multiply
    54,430.31x = 82,465.59 × 82,465.59
  4. Step 4: Simplify right side
    54,430.31x = 6,800,574,152.54
  5. Step 5: Solve for x
    x = 6,800,574,152.54/54,430.31
  6. Step 6: Final answer
    x = 124,940.94

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.