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Finding the Third Proportional to 83,679 and 127,476

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Solution

The third proportional to 83,679 and 127,476 is: 194,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,679 : 127,476 = 127,476 : x
  2. Step 2: Convert to fraction form
    83,679/127,476 = 127,476/x
  3. Step 3: Cross multiply
    83,679x = 127,476 × 127,476
  4. Step 4: Simplify right side
    83,679x = 16,250,130,576
  5. Step 5: Solve for x
    x = 16,250,130,576/83,679
  6. Step 6: Final answer
    x = 194,196.04

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.