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Finding the Third Proportional to 129,912 and 283,632

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Solution

The third proportional to 129,912 and 283,632 is: 619,243.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,912 : 283,632 = 283,632 : x
  2. Step 2: Convert to fraction form
    129,912/283,632 = 283,632/x
  3. Step 3: Cross multiply
    129,912x = 283,632 × 283,632
  4. Step 4: Simplify right side
    129,912x = 80,447,111,424
  5. Step 5: Solve for x
    x = 80,447,111,424/129,912
  6. Step 6: Final answer
    x = 619,243.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.