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Finding the Third Proportional to 34,774 and 75,080

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Solution

The third proportional to 34,774 and 75,080 is: 162,104.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,774 : 75,080 = 75,080 : x
  2. Step 2: Convert to fraction form
    34,774/75,080 = 75,080/x
  3. Step 3: Cross multiply
    34,774x = 75,080 × 75,080
  4. Step 4: Simplify right side
    34,774x = 5,637,006,400
  5. Step 5: Solve for x
    x = 5,637,006,400/34,774
  6. Step 6: Final answer
    x = 162,104.05

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