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Finding the Third Proportional to 56,516 and 124,096

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Solution

The third proportional to 56,516 and 124,096 is: 272,485.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,516 : 124,096 = 124,096 : x
  2. Step 2: Convert to fraction form
    56,516/124,096 = 124,096/x
  3. Step 3: Cross multiply
    56,516x = 124,096 × 124,096
  4. Step 4: Simplify right side
    56,516x = 15,399,817,216
  5. Step 5: Solve for x
    x = 15,399,817,216/56,516
  6. Step 6: Final answer
    x = 272,485.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.