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Finding the Third Proportional to 57,244 and 84,210

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Solution

The third proportional to 57,244 and 84,210 is: 123,878.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,244 : 84,210 = 84,210 : x
  2. Step 2: Convert to fraction form
    57,244/84,210 = 84,210/x
  3. Step 3: Cross multiply
    57,244x = 84,210 × 84,210
  4. Step 4: Simplify right side
    57,244x = 7,091,324,100
  5. Step 5: Solve for x
    x = 7,091,324,100/57,244
  6. Step 6: Final answer
    x = 123,878.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.