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Finding the Third Proportional to 73,638.13 and 115,195.69

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Solution

The third proportional to 73,638.13 and 115,195.69 is: 180,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,638.13 : 115,195.69 = 115,195.69 : x
  2. Step 2: Convert to fraction form
    73,638.13/115,195.69 = 115,195.69/x
  3. Step 3: Cross multiply
    73,638.13x = 115,195.69 × 115,195.69
  4. Step 4: Simplify right side
    73,638.13x = 13,270,046,418.60
  5. Step 5: Solve for x
    x = 13,270,046,418.60/73,638.13
  6. Step 6: Final answer
    x = 180,206.20

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Why These Related Problems?

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