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Finding the Third Proportional to 57,203.72 and 89,291.11

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Solution

The third proportional to 57,203.72 and 89,291.11 is: 139,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,203.72 : 89,291.11 = 89,291.11 : x
  2. Step 2: Convert to fraction form
    57,203.72/89,291.11 = 89,291.11/x
  3. Step 3: Cross multiply
    57,203.72x = 89,291.11 × 89,291.11
  4. Step 4: Simplify right side
    57,203.72x = 7,972,902,213.42
  5. Step 5: Solve for x
    x = 7,972,902,213.42/57,203.72
  6. Step 6: Final answer
    x = 139,377.34

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.