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Finding the Third Proportional to 44,154 and 94,621

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Solution

The third proportional to 44,154 and 94,621 is: 202,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,154 : 94,621 = 94,621 : x
  2. Step 2: Convert to fraction form
    44,154/94,621 = 94,621/x
  3. Step 3: Cross multiply
    44,154x = 94,621 × 94,621
  4. Step 4: Simplify right side
    44,154x = 8,953,133,641
  5. Step 5: Solve for x
    x = 8,953,133,641/44,154
  6. Step 6: Final answer
    x = 202,770.61

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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.