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Finding the Third Proportional to 44,132 and 95,678

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Solution

The third proportional to 44,132 and 95,678 is: 207,429.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,132 : 95,678 = 95,678 : x
  2. Step 2: Convert to fraction form
    44,132/95,678 = 95,678/x
  3. Step 3: Cross multiply
    44,132x = 95,678 × 95,678
  4. Step 4: Simplify right side
    44,132x = 9,154,279,684
  5. Step 5: Solve for x
    x = 9,154,279,684/44,132
  6. Step 6: Final answer
    x = 207,429.52

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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.