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Finding the Third Proportional to 54,472.50 and 117,551.25

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Solution

The third proportional to 54,472.50 and 117,551.25 is: 253,674.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,472.50 : 117,551.25 = 117,551.25 : x
  2. Step 2: Convert to fraction form
    54,472.50/117,551.25 = 117,551.25/x
  3. Step 3: Cross multiply
    54,472.50x = 117,551.25 × 117,551.25
  4. Step 4: Simplify right side
    54,472.50x = 13,818,296,376.56
  5. Step 5: Solve for x
    x = 13,818,296,376.56/54,472.50
  6. Step 6: Final answer
    x = 253,674.72

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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.