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Finding the Third Proportional to 74,659.22 and 161,245.27

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Solution

The third proportional to 74,659.22 and 161,245.27 is: 348,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,659.22 : 161,245.27 = 161,245.27 : x
  2. Step 2: Convert to fraction form
    74,659.22/161,245.27 = 161,245.27/x
  3. Step 3: Cross multiply
    74,659.22x = 161,245.27 × 161,245.27
  4. Step 4: Simplify right side
    74,659.22x = 26,000,035,686.48
  5. Step 5: Solve for x
    x = 26,000,035,686.48/74,659.22
  6. Step 6: Final answer
    x = 348,249.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.