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Finding the Third Proportional to 96,136 and 207,063

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Solution

The third proportional to 96,136 and 207,063 is: 445,983.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,136 : 207,063 = 207,063 : x
  2. Step 2: Convert to fraction form
    96,136/207,063 = 207,063/x
  3. Step 3: Cross multiply
    96,136x = 207,063 × 207,063
  4. Step 4: Simplify right side
    96,136x = 42,875,085,969
  5. Step 5: Solve for x
    x = 42,875,085,969/96,136
  6. Step 6: Final answer
    x = 445,983.67

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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.