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Finding the Third Proportional to 81,604.13 and 173,005.88

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Solution

The third proportional to 81,604.13 and 173,005.88 is: 366,783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,604.13 : 173,005.88 = 173,005.88 : x
  2. Step 2: Convert to fraction form
    81,604.13/173,005.88 = 173,005.88/x
  3. Step 3: Cross multiply
    81,604.13x = 173,005.88 × 173,005.88
  4. Step 4: Simplify right side
    81,604.13x = 29,931,032,784.52
  5. Step 5: Solve for x
    x = 29,931,032,784.52/81,604.13
  6. Step 6: Final answer
    x = 366,783.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.