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Finding the Third Proportional to 44,026 and 96,080

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Solution

The third proportional to 44,026 and 96,080 is: 209,679.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,026 : 96,080 = 96,080 : x
  2. Step 2: Convert to fraction form
    44,026/96,080 = 96,080/x
  3. Step 3: Cross multiply
    44,026x = 96,080 × 96,080
  4. Step 4: Simplify right side
    44,026x = 9,231,366,400
  5. Step 5: Solve for x
    x = 9,231,366,400/44,026
  6. Step 6: Final answer
    x = 209,679.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.