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Finding the Third Proportional to 67,042 and 147,476

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Solution

The third proportional to 67,042 and 147,476 is: 324,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,042 : 147,476 = 147,476 : x
  2. Step 2: Convert to fraction form
    67,042/147,476 = 147,476/x
  3. Step 3: Cross multiply
    67,042x = 147,476 × 147,476
  4. Step 4: Simplify right side
    67,042x = 21,749,170,576
  5. Step 5: Solve for x
    x = 21,749,170,576/67,042
  6. Step 6: Final answer
    x = 324,411.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.