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Finding the Third Proportional to 62,549 and 133,300

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Solution

The third proportional to 62,549 and 133,300 is: 284,079.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,549 : 133,300 = 133,300 : x
  2. Step 2: Convert to fraction form
    62,549/133,300 = 133,300/x
  3. Step 3: Cross multiply
    62,549x = 133,300 × 133,300
  4. Step 4: Simplify right side
    62,549x = 17,768,890,000
  5. Step 5: Solve for x
    x = 17,768,890,000/62,549
  6. Step 6: Final answer
    x = 284,079.52

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.