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Finding the Third Proportional to 44,172 and 95,386

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Solution

The third proportional to 44,172 and 95,386 is: 205,978.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,172 : 95,386 = 95,386 : x
  2. Step 2: Convert to fraction form
    44,172/95,386 = 95,386/x
  3. Step 3: Cross multiply
    44,172x = 95,386 × 95,386
  4. Step 4: Simplify right side
    44,172x = 9,098,488,996
  5. Step 5: Solve for x
    x = 9,098,488,996/44,172
  6. Step 6: Final answer
    x = 205,978.65

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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.