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Finding the Third Proportional to 109,160.16 and 173,581.73

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Solution

The third proportional to 109,160.16 and 173,581.73 is: 276,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,160.16 : 173,581.73 = 173,581.73 : x
  2. Step 2: Convert to fraction form
    109,160.16/173,581.73 = 173,581.73/x
  3. Step 3: Cross multiply
    109,160.16x = 173,581.73 × 173,581.73
  4. Step 4: Simplify right side
    109,160.16x = 30,130,618,508.63
  5. Step 5: Solve for x
    x = 30,130,618,508.63/109,160.16
  6. Step 6: Final answer
    x = 276,022.13

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.