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Finding the Third Proportional to 76,404.94 and 167,010.19

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Solution

The third proportional to 76,404.94 and 167,010.19 is: 365,060.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,404.94 : 167,010.19 = 167,010.19 : x
  2. Step 2: Convert to fraction form
    76,404.94/167,010.19 = 167,010.19/x
  3. Step 3: Cross multiply
    76,404.94x = 167,010.19 × 167,010.19
  4. Step 4: Simplify right side
    76,404.94x = 27,892,402,728.79
  5. Step 5: Solve for x
    x = 27,892,402,728.79/76,404.94
  6. Step 6: Final answer
    x = 365,060.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.