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Finding the Third Proportional to 54,472.50 and 121,702.50

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Solution

The third proportional to 54,472.50 and 121,702.50 is: 271,907.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,472.50 : 121,702.50 = 121,702.50 : x
  2. Step 2: Convert to fraction form
    54,472.50/121,702.50 = 121,702.50/x
  3. Step 3: Cross multiply
    54,472.50x = 121,702.50 × 121,702.50
  4. Step 4: Simplify right side
    54,472.50x = 14,811,498,506.25
  5. Step 5: Solve for x
    x = 14,811,498,506.25/54,472.50
  6. Step 6: Final answer
    x = 271,907.82

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