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Finding the Third Proportional to 84,513.38 and 126,506.81

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Solution

The third proportional to 84,513.38 and 126,506.81 is: 189,366.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,513.38 : 126,506.81 = 126,506.81 : x
  2. Step 2: Convert to fraction form
    84,513.38/126,506.81 = 126,506.81/x
  3. Step 3: Cross multiply
    84,513.38x = 126,506.81 × 126,506.81
  4. Step 4: Simplify right side
    84,513.38x = 16,003,973,608.91
  5. Step 5: Solve for x
    x = 16,003,973,608.91/84,513.38
  6. Step 6: Final answer
    x = 189,366.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.