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Finding the Third Proportional to 127,706 and 193,337

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Solution

The third proportional to 127,706 and 193,337 is: 292,697.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,706 : 193,337 = 193,337 : x
  2. Step 2: Convert to fraction form
    127,706/193,337 = 193,337/x
  3. Step 3: Cross multiply
    127,706x = 193,337 × 193,337
  4. Step 4: Simplify right side
    127,706x = 37,379,195,569
  5. Step 5: Solve for x
    x = 37,379,195,569/127,706
  6. Step 6: Final answer
    x = 292,697.25

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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.