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Finding the Third Proportional to 43,564 and 67,310

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Solution

The third proportional to 43,564 and 67,310 is: 103,999.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,564 : 67,310 = 67,310 : x
  2. Step 2: Convert to fraction form
    43,564/67,310 = 67,310/x
  3. Step 3: Cross multiply
    43,564x = 67,310 × 67,310
  4. Step 4: Simplify right side
    43,564x = 4,530,636,100
  5. Step 5: Solve for x
    x = 4,530,636,100/43,564
  6. Step 6: Final answer
    x = 103,999.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.