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Finding the Third Proportional to 127,959.75 and 200,712.94

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Solution

The third proportional to 127,959.75 and 200,712.94 is: 314,830.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,959.75 : 200,712.94 = 200,712.94 : x
  2. Step 2: Convert to fraction form
    127,959.75/200,712.94 = 200,712.94/x
  3. Step 3: Cross multiply
    127,959.75x = 200,712.94 × 200,712.94
  4. Step 4: Simplify right side
    127,959.75x = 40,285,683,279.88
  5. Step 5: Solve for x
    x = 40,285,683,279.88/127,959.75
  6. Step 6: Final answer
    x = 314,830.90

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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.