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Finding the Third Proportional to 51,840.50 and 108,902.50

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Solution

The third proportional to 51,840.50 and 108,902.50 is: 228,773.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840.50 : 108,902.50 = 108,902.50 : x
  2. Step 2: Convert to fraction form
    51,840.50/108,902.50 = 108,902.50/x
  3. Step 3: Cross multiply
    51,840.50x = 108,902.50 × 108,902.50
  4. Step 4: Simplify right side
    51,840.50x = 11,859,754,506.25
  5. Step 5: Solve for x
    x = 11,859,754,506.25/51,840.50
  6. Step 6: Final answer
    x = 228,773.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.