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Finding the Third Proportional to 96,164 and 207,124

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Solution

The third proportional to 96,164 and 207,124 is: 446,116.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,164 : 207,124 = 207,124 : x
  2. Step 2: Convert to fraction form
    96,164/207,124 = 207,124/x
  3. Step 3: Cross multiply
    96,164x = 207,124 × 207,124
  4. Step 4: Simplify right side
    96,164x = 42,900,351,376
  5. Step 5: Solve for x
    x = 42,900,351,376/96,164
  6. Step 6: Final answer
    x = 446,116.54

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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.