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Finding the Third Proportional to 52,611 and 111,792.75

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Solution

The third proportional to 52,611 and 111,792.75 is: 237,547.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,611 : 111,792.75 = 111,792.75 : x
  2. Step 2: Convert to fraction form
    52,611/111,792.75 = 111,792.75/x
  3. Step 3: Cross multiply
    52,611x = 111,792.75 × 111,792.75
  4. Step 4: Simplify right side
    52,611x = 12,497,618,952.56
  5. Step 5: Solve for x
    x = 12,497,618,952.56/52,611
  6. Step 6: Final answer
    x = 237,547.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.