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Finding the Third Proportional to 78,866.75 and 172,007.25

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Solution

The third proportional to 78,866.75 and 172,007.25 is: 375,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,866.75 : 172,007.25 = 172,007.25 : x
  2. Step 2: Convert to fraction form
    78,866.75/172,007.25 = 172,007.25/x
  3. Step 3: Cross multiply
    78,866.75x = 172,007.25 × 172,007.25
  4. Step 4: Simplify right side
    78,866.75x = 29,586,494,052.56
  5. Step 5: Solve for x
    x = 29,586,494,052.56/78,866.75
  6. Step 6: Final answer
    x = 375,145.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.