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Finding the Third Proportional to 124,956 and 272,082.38

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Solution

The third proportional to 124,956 and 272,082.38 is: 592,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,956 : 272,082.38 = 272,082.38 : x
  2. Step 2: Convert to fraction form
    124,956/272,082.38 = 272,082.38/x
  3. Step 3: Cross multiply
    124,956x = 272,082.38 × 272,082.38
  4. Step 4: Simplify right side
    124,956x = 74,028,818,785.64
  5. Step 5: Solve for x
    x = 74,028,818,785.64/124,956
  6. Step 6: Final answer
    x = 592,439.09

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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.