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Finding the Third Proportional to 122,672 and 182,710

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Solution

The third proportional to 122,672 and 182,710 is: 272,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,672 : 182,710 = 182,710 : x
  2. Step 2: Convert to fraction form
    122,672/182,710 = 182,710/x
  3. Step 3: Cross multiply
    122,672x = 182,710 × 182,710
  4. Step 4: Simplify right side
    122,672x = 33,382,944,100
  5. Step 5: Solve for x
    x = 33,382,944,100/122,672
  6. Step 6: Final answer
    x = 272,131.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.