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Finding the Third Proportional to 71,578.50 and 161,715.75

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Solution

The third proportional to 71,578.50 and 161,715.75 is: 365,360.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.50 : 161,715.75 = 161,715.75 : x
  2. Step 2: Convert to fraction form
    71,578.50/161,715.75 = 161,715.75/x
  3. Step 3: Cross multiply
    71,578.50x = 161,715.75 × 161,715.75
  4. Step 4: Simplify right side
    71,578.50x = 26,151,983,798.06
  5. Step 5: Solve for x
    x = 26,151,983,798.06/71,578.50
  6. Step 6: Final answer
    x = 365,360.88

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.