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Finding the Third Proportional to 124,051 and 271,743

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Solution

The third proportional to 124,051 and 271,743 is: 595,273.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,051 : 271,743 = 271,743 : x
  2. Step 2: Convert to fraction form
    124,051/271,743 = 271,743/x
  3. Step 3: Cross multiply
    124,051x = 271,743 × 271,743
  4. Step 4: Simplify right side
    124,051x = 73,844,258,049
  5. Step 5: Solve for x
    x = 73,844,258,049/124,051
  6. Step 6: Final answer
    x = 595,273.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.