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Finding the Third Proportional to 104,892 and 161,319.75

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Solution

The third proportional to 104,892 and 161,319.75 is: 248,103.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,892 : 161,319.75 = 161,319.75 : x
  2. Step 2: Convert to fraction form
    104,892/161,319.75 = 161,319.75/x
  3. Step 3: Cross multiply
    104,892x = 161,319.75 × 161,319.75
  4. Step 4: Simplify right side
    104,892x = 26,024,061,740.06
  5. Step 5: Solve for x
    x = 26,024,061,740.06/104,892
  6. Step 6: Final answer
    x = 248,103.40

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.