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Finding the Third Proportional to 56,500 and 122,712

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Solution

The third proportional to 56,500 and 122,712 is: 266,517.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,500 : 122,712 = 122,712 : x
  2. Step 2: Convert to fraction form
    56,500/122,712 = 122,712/x
  3. Step 3: Cross multiply
    56,500x = 122,712 × 122,712
  4. Step 4: Simplify right side
    56,500x = 15,058,234,944
  5. Step 5: Solve for x
    x = 15,058,234,944/56,500
  6. Step 6: Final answer
    x = 266,517.43

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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.