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Finding the Third Proportional to 96,132 and 207,055

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Solution

The third proportional to 96,132 and 207,055 is: 445,967.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,132 : 207,055 = 207,055 : x
  2. Step 2: Convert to fraction form
    96,132/207,055 = 207,055/x
  3. Step 3: Cross multiply
    96,132x = 207,055 × 207,055
  4. Step 4: Simplify right side
    96,132x = 42,871,773,025
  5. Step 5: Solve for x
    x = 42,871,773,025/96,132
  6. Step 6: Final answer
    x = 445,967.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.