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Finding the Third Proportional to 56,216 and 122,584

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Solution

The third proportional to 56,216 and 122,584 is: 267,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,216 : 122,584 = 122,584 : x
  2. Step 2: Convert to fraction form
    56,216/122,584 = 122,584/x
  3. Step 3: Cross multiply
    56,216x = 122,584 × 122,584
  4. Step 4: Simplify right side
    56,216x = 15,026,837,056
  5. Step 5: Solve for x
    x = 15,026,837,056/56,216
  6. Step 6: Final answer
    x = 267,305.34

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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.