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Finding the Third Proportional to 101,763 and 148,999.50

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Solution

The third proportional to 101,763 and 148,999.50 is: 218,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,763 : 148,999.50 = 148,999.50 : x
  2. Step 2: Convert to fraction form
    101,763/148,999.50 = 148,999.50/x
  3. Step 3: Cross multiply
    101,763x = 148,999.50 × 148,999.50
  4. Step 4: Simplify right side
    101,763x = 22,200,851,000.25
  5. Step 5: Solve for x
    x = 22,200,851,000.25/101,763
  6. Step 6: Final answer
    x = 218,162.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.