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Finding the Third Proportional to 119,481.96 and 180,957.16

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Solution

The third proportional to 119,481.96 and 180,957.16 is: 274,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,481.96 : 180,957.16 = 180,957.16 : x
  2. Step 2: Convert to fraction form
    119,481.96/180,957.16 = 180,957.16/x
  3. Step 3: Cross multiply
    119,481.96x = 180,957.16 × 180,957.16
  4. Step 4: Simplify right side
    119,481.96x = 32,745,495,225.54
  5. Step 5: Solve for x
    x = 32,745,495,225.54/119,481.96
  6. Step 6: Final answer
    x = 274,062.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.