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Finding the Third Proportional to 42,835.50 and 89,680.50

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Solution

The third proportional to 42,835.50 and 89,680.50 is: 187,755.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,835.50 : 89,680.50 = 89,680.50 : x
  2. Step 2: Convert to fraction form
    42,835.50/89,680.50 = 89,680.50/x
  3. Step 3: Cross multiply
    42,835.50x = 89,680.50 × 89,680.50
  4. Step 4: Simplify right side
    42,835.50x = 8,042,592,080.25
  5. Step 5: Solve for x
    x = 8,042,592,080.25/42,835.50
  6. Step 6: Final answer
    x = 187,755.30

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.