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Finding the Third Proportional to 100,884.75 and 162,552.38

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Solution

The third proportional to 100,884.75 and 162,552.38 is: 261,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,884.75 : 162,552.38 = 162,552.38 : x
  2. Step 2: Convert to fraction form
    100,884.75/162,552.38 = 162,552.38/x
  3. Step 3: Cross multiply
    100,884.75x = 162,552.38 × 162,552.38
  4. Step 4: Simplify right side
    100,884.75x = 26,423,274,618.14
  5. Step 5: Solve for x
    x = 26,423,274,618.14/100,884.75
  6. Step 6: Final answer
    x = 261,915.45

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.