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Finding the Third Proportional to 78,889.50 and 161,460

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Solution

The third proportional to 78,889.50 and 161,460 is: 330,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,889.50 : 161,460 = 161,460 : x
  2. Step 2: Convert to fraction form
    78,889.50/161,460 = 161,460/x
  3. Step 3: Cross multiply
    78,889.50x = 161,460 × 161,460
  4. Step 4: Simplify right side
    78,889.50x = 26,069,331,600
  5. Step 5: Solve for x
    x = 26,069,331,600/78,889.50
  6. Step 6: Final answer
    x = 330,453.76

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.