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Finding the Third Proportional to 43,102 and 67,273.50

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Solution

The third proportional to 43,102 and 67,273.50 is: 105,000.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,102 : 67,273.50 = 67,273.50 : x
  2. Step 2: Convert to fraction form
    43,102/67,273.50 = 67,273.50/x
  3. Step 3: Cross multiply
    43,102x = 67,273.50 × 67,273.50
  4. Step 4: Simplify right side
    43,102x = 4,525,723,802.25
  5. Step 5: Solve for x
    x = 4,525,723,802.25/43,102
  6. Step 6: Final answer
    x = 105,000.32

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.