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Finding the Third Proportional to 44,303 and 95,563

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Solution

The third proportional to 44,303 and 95,563 is: 206,132.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,303 : 95,563 = 95,563 : x
  2. Step 2: Convert to fraction form
    44,303/95,563 = 95,563/x
  3. Step 3: Cross multiply
    44,303x = 95,563 × 95,563
  4. Step 4: Simplify right side
    44,303x = 9,132,286,969
  5. Step 5: Solve for x
    x = 9,132,286,969/44,303
  6. Step 6: Final answer
    x = 206,132.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.