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Finding the Third Proportional to 101,782.50 and 149,631

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Solution

The third proportional to 101,782.50 and 149,631 is: 219,973.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,782.50 : 149,631 = 149,631 : x
  2. Step 2: Convert to fraction form
    101,782.50/149,631 = 149,631/x
  3. Step 3: Cross multiply
    101,782.50x = 149,631 × 149,631
  4. Step 4: Simplify right side
    101,782.50x = 22,389,436,161
  5. Step 5: Solve for x
    x = 22,389,436,161/101,782.50
  6. Step 6: Final answer
    x = 219,973.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.