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Finding the Third Proportional to 76,750.03 and 161,452.14

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Solution

The third proportional to 76,750.03 and 161,452.14 is: 339,632.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,750.03 : 161,452.14 = 161,452.14 : x
  2. Step 2: Convert to fraction form
    76,750.03/161,452.14 = 161,452.14/x
  3. Step 3: Cross multiply
    76,750.03x = 161,452.14 × 161,452.14
  4. Step 4: Simplify right side
    76,750.03x = 26,066,794,343.07
  5. Step 5: Solve for x
    x = 26,066,794,343.07/76,750.03
  6. Step 6: Final answer
    x = 339,632.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.