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Finding the Third Proportional to 51,975 and 112,265

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Solution

The third proportional to 51,975 and 112,265 is: 242,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,975 : 112,265 = 112,265 : x
  2. Step 2: Convert to fraction form
    51,975/112,265 = 112,265/x
  3. Step 3: Cross multiply
    51,975x = 112,265 × 112,265
  4. Step 4: Simplify right side
    51,975x = 12,603,430,225
  5. Step 5: Solve for x
    x = 12,603,430,225/51,975
  6. Step 6: Final answer
    x = 242,490.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.