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Finding the Third Proportional to 108,288.75 and 162,433.13

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Solution

The third proportional to 108,288.75 and 162,433.13 is: 243,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,288.75 : 162,433.13 = 162,433.13 : x
  2. Step 2: Convert to fraction form
    108,288.75/162,433.13 = 162,433.13/x
  3. Step 3: Cross multiply
    108,288.75x = 162,433.13 × 162,433.13
  4. Step 4: Simplify right side
    108,288.75x = 26,384,520,097.27
  5. Step 5: Solve for x
    x = 26,384,520,097.27/108,288.75
  6. Step 6: Final answer
    x = 243,649.69

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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.