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Finding the Third Proportional to 57,896 and 85,212

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Solution

The third proportional to 57,896 and 85,212 is: 125,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,896 : 85,212 = 85,212 : x
  2. Step 2: Convert to fraction form
    57,896/85,212 = 85,212/x
  3. Step 3: Cross multiply
    57,896x = 85,212 × 85,212
  4. Step 4: Simplify right side
    57,896x = 7,261,084,944
  5. Step 5: Solve for x
    x = 7,261,084,944/57,896
  6. Step 6: Final answer
    x = 125,416.00

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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.