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Finding the Third Proportional to 73,648.50 and 161,634

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Solution

The third proportional to 73,648.50 and 161,634 is: 354,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,648.50 : 161,634 = 161,634 : x
  2. Step 2: Convert to fraction form
    73,648.50/161,634 = 161,634/x
  3. Step 3: Cross multiply
    73,648.50x = 161,634 × 161,634
  4. Step 4: Simplify right side
    73,648.50x = 26,125,549,956
  5. Step 5: Solve for x
    x = 26,125,549,956/73,648.50
  6. Step 6: Final answer
    x = 354,732.95

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.