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Finding the Third Proportional to 117,730.50 and 171,125.25

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Solution

The third proportional to 117,730.50 and 171,125.25 is: 248,736.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,730.50 : 171,125.25 = 171,125.25 : x
  2. Step 2: Convert to fraction form
    117,730.50/171,125.25 = 171,125.25/x
  3. Step 3: Cross multiply
    117,730.50x = 171,125.25 × 171,125.25
  4. Step 4: Simplify right side
    117,730.50x = 29,283,851,187.56
  5. Step 5: Solve for x
    x = 29,283,851,187.56/117,730.50
  6. Step 6: Final answer
    x = 248,736.32

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.