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Finding the Third Proportional to 42,344 and 95,476

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Solution

The third proportional to 42,344 and 95,476 is: 215,276.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,344 : 95,476 = 95,476 : x
  2. Step 2: Convert to fraction form
    42,344/95,476 = 95,476/x
  3. Step 3: Cross multiply
    42,344x = 95,476 × 95,476
  4. Step 4: Simplify right side
    42,344x = 9,115,666,576
  5. Step 5: Solve for x
    x = 9,115,666,576/42,344
  6. Step 6: Final answer
    x = 215,276.46

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.