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Finding the Third Proportional to 49,951 and 70,265

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Solution

The third proportional to 49,951 and 70,265 is: 98,840.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,951 : 70,265 = 70,265 : x
  2. Step 2: Convert to fraction form
    49,951/70,265 = 70,265/x
  3. Step 3: Cross multiply
    49,951x = 70,265 × 70,265
  4. Step 4: Simplify right side
    49,951x = 4,937,170,225
  5. Step 5: Solve for x
    x = 4,937,170,225/49,951
  6. Step 6: Final answer
    x = 98,840.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.