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Finding the Third Proportional to 131,118.75 and 233,138.25

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Solution

The third proportional to 131,118.75 and 233,138.25 is: 414,536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,118.75 : 233,138.25 = 233,138.25 : x
  2. Step 2: Convert to fraction form
    131,118.75/233,138.25 = 233,138.25/x
  3. Step 3: Cross multiply
    131,118.75x = 233,138.25 × 233,138.25
  4. Step 4: Simplify right side
    131,118.75x = 54,353,443,613.06
  5. Step 5: Solve for x
    x = 54,353,443,613.06/131,118.75
  6. Step 6: Final answer
    x = 414,536.01

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.