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Finding the Third Proportional to 54,429.50 and 84,106.50

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Solution

The third proportional to 54,429.50 and 84,106.50 is: 129,964.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,429.50 : 84,106.50 = 84,106.50 : x
  2. Step 2: Convert to fraction form
    54,429.50/84,106.50 = 84,106.50/x
  3. Step 3: Cross multiply
    54,429.50x = 84,106.50 × 84,106.50
  4. Step 4: Simplify right side
    54,429.50x = 7,073,903,342.25
  5. Step 5: Solve for x
    x = 7,073,903,342.25/54,429.50
  6. Step 6: Final answer
    x = 129,964.51

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.