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Finding the Third Proportional to 76,669.88 and 157,166.06

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Solution

The third proportional to 76,669.88 and 157,166.06 is: 322,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,669.88 : 157,166.06 = 157,166.06 : x
  2. Step 2: Convert to fraction form
    76,669.88/157,166.06 = 157,166.06/x
  3. Step 3: Cross multiply
    76,669.88x = 157,166.06 × 157,166.06
  4. Step 4: Simplify right side
    76,669.88x = 24,701,171,201.75
  5. Step 5: Solve for x
    x = 24,701,171,201.75/76,669.88
  6. Step 6: Final answer
    x = 322,175.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.