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Finding the Third Proportional to 44,705 and 95,900

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Solution

The third proportional to 44,705 and 95,900 is: 205,722.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,705 : 95,900 = 95,900 : x
  2. Step 2: Convert to fraction form
    44,705/95,900 = 95,900/x
  3. Step 3: Cross multiply
    44,705x = 95,900 × 95,900
  4. Step 4: Simplify right side
    44,705x = 9,196,810,000
  5. Step 5: Solve for x
    x = 9,196,810,000/44,705
  6. Step 6: Final answer
    x = 205,722.18

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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.