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Finding the Third Proportional to 124,956 and 272,096

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Solution

The third proportional to 124,956 and 272,096 is: 592,498.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,956 : 272,096 = 272,096 : x
  2. Step 2: Convert to fraction form
    124,956/272,096 = 272,096/x
  3. Step 3: Cross multiply
    124,956x = 272,096 × 272,096
  4. Step 4: Simplify right side
    124,956x = 74,036,233,216
  5. Step 5: Solve for x
    x = 74,036,233,216/124,956
  6. Step 6: Final answer
    x = 592,498.43

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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.