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Finding the Third Proportional to 79,485 and 172,775.25

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Solution

The third proportional to 79,485 and 172,775.25 is: 375,558.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,485 : 172,775.25 = 172,775.25 : x
  2. Step 2: Convert to fraction form
    79,485/172,775.25 = 172,775.25/x
  3. Step 3: Cross multiply
    79,485x = 172,775.25 × 172,775.25
  4. Step 4: Simplify right side
    79,485x = 29,851,287,012.56
  5. Step 5: Solve for x
    x = 29,851,287,012.56/79,485
  6. Step 6: Final answer
    x = 375,558.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.