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Finding the Third Proportional to 104,533 and 157,771.50

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Solution

The third proportional to 104,533 and 157,771.50 is: 238,124.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,533 : 157,771.50 = 157,771.50 : x
  2. Step 2: Convert to fraction form
    104,533/157,771.50 = 157,771.50/x
  3. Step 3: Cross multiply
    104,533x = 157,771.50 × 157,771.50
  4. Step 4: Simplify right side
    104,533x = 24,891,846,212.25
  5. Step 5: Solve for x
    x = 24,891,846,212.25/104,533
  6. Step 6: Final answer
    x = 238,124.29

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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.