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Finding the Third Proportional to 124,450.50 and 191,397

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Solution

The third proportional to 124,450.50 and 191,397 is: 294,356.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,450.50 : 191,397 = 191,397 : x
  2. Step 2: Convert to fraction form
    124,450.50/191,397 = 191,397/x
  3. Step 3: Cross multiply
    124,450.50x = 191,397 × 191,397
  4. Step 4: Simplify right side
    124,450.50x = 36,632,811,609
  5. Step 5: Solve for x
    x = 36,632,811,609/124,450.50
  6. Step 6: Final answer
    x = 294,356.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.