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Finding the Third Proportional to 57,539 and 124,942

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Solution

The third proportional to 57,539 and 124,942 is: 271,303.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,539 : 124,942 = 124,942 : x
  2. Step 2: Convert to fraction form
    57,539/124,942 = 124,942/x
  3. Step 3: Cross multiply
    57,539x = 124,942 × 124,942
  4. Step 4: Simplify right side
    57,539x = 15,610,503,364
  5. Step 5: Solve for x
    x = 15,610,503,364/57,539
  6. Step 6: Final answer
    x = 271,303.00

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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.