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Finding the Third Proportional to 78,051.75 and 171,093.75

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Solution

The third proportional to 78,051.75 and 171,093.75 is: 375,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,051.75 : 171,093.75 = 171,093.75 : x
  2. Step 2: Convert to fraction form
    78,051.75/171,093.75 = 171,093.75/x
  3. Step 3: Cross multiply
    78,051.75x = 171,093.75 × 171,093.75
  4. Step 4: Simplify right side
    78,051.75x = 29,273,071,289.06
  5. Step 5: Solve for x
    x = 29,273,071,289.06/78,051.75
  6. Step 6: Final answer
    x = 375,046.96

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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.