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Finding the Third Proportional to 133,559.50 and 191,321

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Solution

The third proportional to 133,559.50 and 191,321 is: 274,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,559.50 : 191,321 = 191,321 : x
  2. Step 2: Convert to fraction form
    133,559.50/191,321 = 191,321/x
  3. Step 3: Cross multiply
    133,559.50x = 191,321 × 191,321
  4. Step 4: Simplify right side
    133,559.50x = 36,603,725,041
  5. Step 5: Solve for x
    x = 36,603,725,041/133,559.50
  6. Step 6: Final answer
    x = 274,063.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.