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Finding the Third Proportional to 42,720 and 91,755

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Solution

The third proportional to 42,720 and 91,755 is: 197,073.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,720 : 91,755 = 91,755 : x
  2. Step 2: Convert to fraction form
    42,720/91,755 = 91,755/x
  3. Step 3: Cross multiply
    42,720x = 91,755 × 91,755
  4. Step 4: Simplify right side
    42,720x = 8,418,980,025
  5. Step 5: Solve for x
    x = 8,418,980,025/42,720
  6. Step 6: Final answer
    x = 197,073.50

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.