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Finding the Third Proportional to 54,463.50 and 117,529.88

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Solution

The third proportional to 54,463.50 and 117,529.88 is: 253,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,463.50 : 117,529.88 = 117,529.88 : x
  2. Step 2: Convert to fraction form
    54,463.50/117,529.88 = 117,529.88/x
  3. Step 3: Cross multiply
    54,463.50x = 117,529.88 × 117,529.88
  4. Step 4: Simplify right side
    54,463.50x = 13,813,271,517.52
  5. Step 5: Solve for x
    x = 13,813,271,517.52/54,463.50
  6. Step 6: Final answer
    x = 253,624.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.