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Finding the Third Proportional to 56,520 and 123,300

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Solution

The third proportional to 56,520 and 123,300 is: 268,982.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,520 : 123,300 = 123,300 : x
  2. Step 2: Convert to fraction form
    56,520/123,300 = 123,300/x
  3. Step 3: Cross multiply
    56,520x = 123,300 × 123,300
  4. Step 4: Simplify right side
    56,520x = 15,202,890,000
  5. Step 5: Solve for x
    x = 15,202,890,000/56,520
  6. Step 6: Final answer
    x = 268,982.48

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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.