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Finding the Third Proportional to 44,173.50 and 95,772

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Solution

The third proportional to 44,173.50 and 95,772 is: 207,642.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,173.50 : 95,772 = 95,772 : x
  2. Step 2: Convert to fraction form
    44,173.50/95,772 = 95,772/x
  3. Step 3: Cross multiply
    44,173.50x = 95,772 × 95,772
  4. Step 4: Simplify right side
    44,173.50x = 9,172,275,984
  5. Step 5: Solve for x
    x = 9,172,275,984/44,173.50
  6. Step 6: Final answer
    x = 207,642.05

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.