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Finding the Third Proportional to 114,837.75 and 172,383.19

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Solution

The third proportional to 114,837.75 and 172,383.19 is: 258,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,837.75 : 172,383.19 = 172,383.19 : x
  2. Step 2: Convert to fraction form
    114,837.75/172,383.19 = 172,383.19/x
  3. Step 3: Cross multiply
    114,837.75x = 172,383.19 × 172,383.19
  4. Step 4: Simplify right side
    114,837.75x = 29,715,963,332.66
  5. Step 5: Solve for x
    x = 29,715,963,332.66/114,837.75
  6. Step 6: Final answer
    x = 258,764.76

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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.