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Finding the Third Proportional to 127,873 and 193,586.50

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Solution

The third proportional to 127,873 and 193,586.50 is: 293,069.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,873 : 193,586.50 = 193,586.50 : x
  2. Step 2: Convert to fraction form
    127,873/193,586.50 = 193,586.50/x
  3. Step 3: Cross multiply
    127,873x = 193,586.50 × 193,586.50
  4. Step 4: Simplify right side
    127,873x = 37,475,732,982.25
  5. Step 5: Solve for x
    x = 37,475,732,982.25/127,873
  6. Step 6: Final answer
    x = 293,069.94

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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.