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Finding the Third Proportional to 103,971.50 and 157,425

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Solution

The third proportional to 103,971.50 and 157,425 is: 238,359.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,971.50 : 157,425 = 157,425 : x
  2. Step 2: Convert to fraction form
    103,971.50/157,425 = 157,425/x
  3. Step 3: Cross multiply
    103,971.50x = 157,425 × 157,425
  4. Step 4: Simplify right side
    103,971.50x = 24,782,630,625
  5. Step 5: Solve for x
    x = 24,782,630,625/103,971.50
  6. Step 6: Final answer
    x = 238,359.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.