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Finding the Third Proportional to 53,204.34 and 111,337.03

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Solution

The third proportional to 53,204.34 and 111,337.03 is: 232,987.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,204.34 : 111,337.03 = 111,337.03 : x
  2. Step 2: Convert to fraction form
    53,204.34/111,337.03 = 111,337.03/x
  3. Step 3: Cross multiply
    53,204.34x = 111,337.03 × 111,337.03
  4. Step 4: Simplify right side
    53,204.34x = 12,395,934,527.56
  5. Step 5: Solve for x
    x = 12,395,934,527.56/53,204.34
  6. Step 6: Final answer
    x = 232,987.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.