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Finding the Third Proportional to 84,350.50 and 127,397

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Solution

The third proportional to 84,350.50 and 127,397 is: 192,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,350.50 : 127,397 = 127,397 : x
  2. Step 2: Convert to fraction form
    84,350.50/127,397 = 127,397/x
  3. Step 3: Cross multiply
    84,350.50x = 127,397 × 127,397
  4. Step 4: Simplify right side
    84,350.50x = 16,229,995,609
  5. Step 5: Solve for x
    x = 16,229,995,609/84,350.50
  6. Step 6: Final answer
    x = 192,411.37

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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.