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Finding the Third Proportional to 56,324 and 122,380

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Solution

The third proportional to 56,324 and 122,380 is: 265,905.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,324 : 122,380 = 122,380 : x
  2. Step 2: Convert to fraction form
    56,324/122,380 = 122,380/x
  3. Step 3: Cross multiply
    56,324x = 122,380 × 122,380
  4. Step 4: Simplify right side
    56,324x = 14,976,864,400
  5. Step 5: Solve for x
    x = 14,976,864,400/56,324
  6. Step 6: Final answer
    x = 265,905.55

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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.