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Finding the Third Proportional to 44,602 and 96,020

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Solution

The third proportional to 44,602 and 96,020 is: 206,713.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,602 : 96,020 = 96,020 : x
  2. Step 2: Convert to fraction form
    44,602/96,020 = 96,020/x
  3. Step 3: Cross multiply
    44,602x = 96,020 × 96,020
  4. Step 4: Simplify right side
    44,602x = 9,219,840,400
  5. Step 5: Solve for x
    x = 9,219,840,400/44,602
  6. Step 6: Final answer
    x = 206,713.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.