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Finding the Third Proportional to 96,135 and 207,062

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Solution

The third proportional to 96,135 and 207,062 is: 445,984.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,135 : 207,062 = 207,062 : x
  2. Step 2: Convert to fraction form
    96,135/207,062 = 207,062/x
  3. Step 3: Cross multiply
    96,135x = 207,062 × 207,062
  4. Step 4: Simplify right side
    96,135x = 42,874,671,844
  5. Step 5: Solve for x
    x = 42,874,671,844/96,135
  6. Step 6: Final answer
    x = 445,984.00

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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.