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Finding the Third Proportional to 71,031 and 144,510

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Solution

The third proportional to 71,031 and 144,510 is: 294,000.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,031 : 144,510 = 144,510 : x
  2. Step 2: Convert to fraction form
    71,031/144,510 = 144,510/x
  3. Step 3: Cross multiply
    71,031x = 144,510 × 144,510
  4. Step 4: Simplify right side
    71,031x = 20,883,140,100
  5. Step 5: Solve for x
    x = 20,883,140,100/71,031
  6. Step 6: Final answer
    x = 294,000.37

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.