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Finding the Third Proportional to 101,763 and 235,777.50

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Solution

The third proportional to 101,763 and 235,777.50 is: 546,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,763 : 235,777.50 = 235,777.50 : x
  2. Step 2: Convert to fraction form
    101,763/235,777.50 = 235,777.50/x
  3. Step 3: Cross multiply
    101,763x = 235,777.50 × 235,777.50
  4. Step 4: Simplify right side
    101,763x = 55,591,029,506.25
  5. Step 5: Solve for x
    x = 55,591,029,506.25/101,763
  6. Step 6: Final answer
    x = 546,279.39

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.