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Finding the Third Proportional to 45,755.50 and 97,342.75

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Solution

The third proportional to 45,755.50 and 97,342.75 is: 207,092.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,755.50 : 97,342.75 = 97,342.75 : x
  2. Step 2: Convert to fraction form
    45,755.50/97,342.75 = 97,342.75/x
  3. Step 3: Cross multiply
    45,755.50x = 97,342.75 × 97,342.75
  4. Step 4: Simplify right side
    45,755.50x = 9,475,610,977.56
  5. Step 5: Solve for x
    x = 9,475,610,977.56/45,755.50
  6. Step 6: Final answer
    x = 207,092.28

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.