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Finding the Third Proportional to 54,155.81 and 120,763.13

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Solution

The third proportional to 54,155.81 and 120,763.13 is: 269,292.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,155.81 : 120,763.13 = 120,763.13 : x
  2. Step 2: Convert to fraction form
    54,155.81/120,763.13 = 120,763.13/x
  3. Step 3: Cross multiply
    54,155.81x = 120,763.13 × 120,763.13
  4. Step 4: Simplify right side
    54,155.81x = 14,583,732,359.77
  5. Step 5: Solve for x
    x = 14,583,732,359.77/54,155.81
  6. Step 6: Final answer
    x = 269,292.10

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.