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Finding the Third Proportional to 105,041 and 151,000.50

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Solution

The third proportional to 105,041 and 151,000.50 is: 217,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,041 : 151,000.50 = 151,000.50 : x
  2. Step 2: Convert to fraction form
    105,041/151,000.50 = 151,000.50/x
  3. Step 3: Cross multiply
    105,041x = 151,000.50 × 151,000.50
  4. Step 4: Simplify right side
    105,041x = 22,801,151,000.25
  5. Step 5: Solve for x
    x = 22,801,151,000.25/105,041
  6. Step 6: Final answer
    x = 217,069.06

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.