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Finding the Third Proportional to 55,702.50 and 115,995

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Solution

The third proportional to 55,702.50 and 115,995 is: 241,548.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,702.50 : 115,995 = 115,995 : x
  2. Step 2: Convert to fraction form
    55,702.50/115,995 = 115,995/x
  3. Step 3: Cross multiply
    55,702.50x = 115,995 × 115,995
  4. Step 4: Simplify right side
    55,702.50x = 13,454,840,025
  5. Step 5: Solve for x
    x = 13,454,840,025/55,702.50
  6. Step 6: Final answer
    x = 241,548.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.