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Finding the Third Proportional to 103,934 and 161,985

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Solution

The third proportional to 103,934 and 161,985 is: 252,459.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,934 : 161,985 = 161,985 : x
  2. Step 2: Convert to fraction form
    103,934/161,985 = 161,985/x
  3. Step 3: Cross multiply
    103,934x = 161,985 × 161,985
  4. Step 4: Simplify right side
    103,934x = 26,239,140,225
  5. Step 5: Solve for x
    x = 26,239,140,225/103,934
  6. Step 6: Final answer
    x = 252,459.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.