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Finding the Third Proportional to 65,044 and 95,080

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Solution

The third proportional to 65,044 and 95,080 is: 138,986.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,044 : 95,080 = 95,080 : x
  2. Step 2: Convert to fraction form
    65,044/95,080 = 95,080/x
  3. Step 3: Cross multiply
    65,044x = 95,080 × 95,080
  4. Step 4: Simplify right side
    65,044x = 9,040,206,400
  5. Step 5: Solve for x
    x = 9,040,206,400/65,044
  6. Step 6: Final answer
    x = 138,986.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.