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Finding the Third Proportional to 76,365.75 and 164,558.63

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Solution

The third proportional to 76,365.75 and 164,558.63 is: 354,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,365.75 : 164,558.63 = 164,558.63 : x
  2. Step 2: Convert to fraction form
    76,365.75/164,558.63 = 164,558.63/x
  3. Step 3: Cross multiply
    76,365.75x = 164,558.63 × 164,558.63
  4. Step 4: Simplify right side
    76,365.75x = 27,079,541,061.89
  5. Step 5: Solve for x
    x = 27,079,541,061.89/76,365.75
  6. Step 6: Final answer
    x = 354,603.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.