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Finding the Third Proportional to 56,414.50 and 122,540

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Solution

The third proportional to 56,414.50 and 122,540 is: 266,173.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,414.50 : 122,540 = 122,540 : x
  2. Step 2: Convert to fraction form
    56,414.50/122,540 = 122,540/x
  3. Step 3: Cross multiply
    56,414.50x = 122,540 × 122,540
  4. Step 4: Simplify right side
    56,414.50x = 15,016,051,600
  5. Step 5: Solve for x
    x = 15,016,051,600/56,414.50
  6. Step 6: Final answer
    x = 266,173.62

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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.