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Finding the Third Proportional to 57,229 and 84,190

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Solution

The third proportional to 57,229 and 84,190 is: 123,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,229 : 84,190 = 84,190 : x
  2. Step 2: Convert to fraction form
    57,229/84,190 = 84,190/x
  3. Step 3: Cross multiply
    57,229x = 84,190 × 84,190
  4. Step 4: Simplify right side
    57,229x = 7,087,956,100
  5. Step 5: Solve for x
    x = 7,087,956,100/57,229
  6. Step 6: Final answer
    x = 123,852.52

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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.