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Finding the Third Proportional to 57,159 and 125,536.50

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Solution

The third proportional to 57,159 and 125,536.50 is: 275,711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,159 : 125,536.50 = 125,536.50 : x
  2. Step 2: Convert to fraction form
    57,159/125,536.50 = 125,536.50/x
  3. Step 3: Cross multiply
    57,159x = 125,536.50 × 125,536.50
  4. Step 4: Simplify right side
    57,159x = 15,759,412,832.25
  5. Step 5: Solve for x
    x = 15,759,412,832.25/57,159
  6. Step 6: Final answer
    x = 275,711.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.