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Finding the Third Proportional to 71,509.50 and 107,232

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Solution

The third proportional to 71,509.50 and 107,232 is: 160,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,509.50 : 107,232 = 107,232 : x
  2. Step 2: Convert to fraction form
    71,509.50/107,232 = 107,232/x
  3. Step 3: Cross multiply
    71,509.50x = 107,232 × 107,232
  4. Step 4: Simplify right side
    71,509.50x = 11,498,701,824
  5. Step 5: Solve for x
    x = 11,498,701,824/71,509.50
  6. Step 6: Final answer
    x = 160,799.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.