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Finding the Third Proportional to 127,873.69 and 200,592.70

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Solution

The third proportional to 127,873.69 and 200,592.70 is: 314,665.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,873.69 : 200,592.70 = 200,592.70 : x
  2. Step 2: Convert to fraction form
    127,873.69/200,592.70 = 200,592.70/x
  3. Step 3: Cross multiply
    127,873.69x = 200,592.70 × 200,592.70
  4. Step 4: Simplify right side
    127,873.69x = 40,237,432,546.99
  5. Step 5: Solve for x
    x = 40,237,432,546.99/127,873.69
  6. Step 6: Final answer
    x = 314,665.46

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.