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Finding the Third Proportional to 46,051 and 98,635

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Solution

The third proportional to 46,051 and 98,635 is: 211,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,051 : 98,635 = 98,635 : x
  2. Step 2: Convert to fraction form
    46,051/98,635 = 98,635/x
  3. Step 3: Cross multiply
    46,051x = 98,635 × 98,635
  4. Step 4: Simplify right side
    46,051x = 9,728,863,225
  5. Step 5: Solve for x
    x = 9,728,863,225/46,051
  6. Step 6: Final answer
    x = 211,262.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.