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Finding the Third Proportional to 84,486 and 126,476

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Solution

The third proportional to 84,486 and 126,476 is: 189,335.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,486 : 126,476 = 126,476 : x
  2. Step 2: Convert to fraction form
    84,486/126,476 = 126,476/x
  3. Step 3: Cross multiply
    84,486x = 126,476 × 126,476
  4. Step 4: Simplify right side
    84,486x = 15,996,178,576
  5. Step 5: Solve for x
    x = 15,996,178,576/84,486
  6. Step 6: Final answer
    x = 189,335.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.