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Finding the Third Proportional to 59,612 and 129,476

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Solution

The third proportional to 59,612 and 129,476 is: 281,219.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,612 : 129,476 = 129,476 : x
  2. Step 2: Convert to fraction form
    59,612/129,476 = 129,476/x
  3. Step 3: Cross multiply
    59,612x = 129,476 × 129,476
  4. Step 4: Simplify right side
    59,612x = 16,764,034,576
  5. Step 5: Solve for x
    x = 16,764,034,576/59,612
  6. Step 6: Final answer
    x = 281,219.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.