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Finding the Third Proportional to 44,189.50 and 68,532

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Solution

The third proportional to 44,189.50 and 68,532 is: 106,283.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,189.50 : 68,532 = 68,532 : x
  2. Step 2: Convert to fraction form
    44,189.50/68,532 = 68,532/x
  3. Step 3: Cross multiply
    44,189.50x = 68,532 × 68,532
  4. Step 4: Simplify right side
    44,189.50x = 4,696,635,024
  5. Step 5: Solve for x
    x = 4,696,635,024/44,189.50
  6. Step 6: Final answer
    x = 106,283.96

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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.