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Finding the Third Proportional to 44,500 and 95,552

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Solution

The third proportional to 44,500 and 95,552 is: 205,172.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,500 : 95,552 = 95,552 : x
  2. Step 2: Convert to fraction form
    44,500/95,552 = 95,552/x
  3. Step 3: Cross multiply
    44,500x = 95,552 × 95,552
  4. Step 4: Simplify right side
    44,500x = 9,130,184,704
  5. Step 5: Solve for x
    x = 9,130,184,704/44,500
  6. Step 6: Final answer
    x = 205,172.69

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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.