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Finding the Third Proportional to 43,462 and 104,666.50

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Solution

The third proportional to 43,462 and 104,666.50 is: 252,061.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,462 : 104,666.50 = 104,666.50 : x
  2. Step 2: Convert to fraction form
    43,462/104,666.50 = 104,666.50/x
  3. Step 3: Cross multiply
    43,462x = 104,666.50 × 104,666.50
  4. Step 4: Simplify right side
    43,462x = 10,955,076,222.25
  5. Step 5: Solve for x
    x = 10,955,076,222.25/43,462
  6. Step 6: Final answer
    x = 252,061.02

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.