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Finding the Third Proportional to 73,977 and 161,776.50

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Solution

The third proportional to 73,977 and 161,776.50 is: 353,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,977 : 161,776.50 = 161,776.50 : x
  2. Step 2: Convert to fraction form
    73,977/161,776.50 = 161,776.50/x
  3. Step 3: Cross multiply
    73,977x = 161,776.50 × 161,776.50
  4. Step 4: Simplify right side
    73,977x = 26,171,635,952.25
  5. Step 5: Solve for x
    x = 26,171,635,952.25/73,977
  6. Step 6: Final answer
    x = 353,780.71

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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.