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Finding the Third Proportional to 44,095 and 96,937

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Solution

The third proportional to 44,095 and 96,937 is: 213,103.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,095 : 96,937 = 96,937 : x
  2. Step 2: Convert to fraction form
    44,095/96,937 = 96,937/x
  3. Step 3: Cross multiply
    44,095x = 96,937 × 96,937
  4. Step 4: Simplify right side
    44,095x = 9,396,781,969
  5. Step 5: Solve for x
    x = 9,396,781,969/44,095
  6. Step 6: Final answer
    x = 213,103.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.