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Finding the Third Proportional to 54,641.90 and 84,298.81

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Solution

The third proportional to 54,641.90 and 84,298.81 is: 130,052.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,641.90 : 84,298.81 = 84,298.81 : x
  2. Step 2: Convert to fraction form
    54,641.90/84,298.81 = 84,298.81/x
  3. Step 3: Cross multiply
    54,641.90x = 84,298.81 × 84,298.81
  4. Step 4: Simplify right side
    54,641.90x = 7,106,289,706.59
  5. Step 5: Solve for x
    x = 7,106,289,706.59/54,641.90
  6. Step 6: Final answer
    x = 130,052.03

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.