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Finding the Third Proportional to 57,050 and 124,046

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Solution

The third proportional to 57,050 and 124,046 is: 269,717.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,050 : 124,046 = 124,046 : x
  2. Step 2: Convert to fraction form
    57,050/124,046 = 124,046/x
  3. Step 3: Cross multiply
    57,050x = 124,046 × 124,046
  4. Step 4: Simplify right side
    57,050x = 15,387,410,116
  5. Step 5: Solve for x
    x = 15,387,410,116/57,050
  6. Step 6: Final answer
    x = 269,717.97

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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.