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Finding the Third Proportional to 107,983.13 and 172,513.13

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Solution

The third proportional to 107,983.13 and 172,513.13 is: 275,605.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,983.13 : 172,513.13 = 172,513.13 : x
  2. Step 2: Convert to fraction form
    107,983.13/172,513.13 = 172,513.13/x
  3. Step 3: Cross multiply
    107,983.13x = 172,513.13 × 172,513.13
  4. Step 4: Simplify right side
    107,983.13x = 29,760,778,297.27
  5. Step 5: Solve for x
    x = 29,760,778,297.27/107,983.13
  6. Step 6: Final answer
    x = 275,605.83

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.