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Finding the Third Proportional to 34,141 and 74,509

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Solution

The third proportional to 34,141 and 74,509 is: 162,607.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141 : 74,509 = 74,509 : x
  2. Step 2: Convert to fraction form
    34,141/74,509 = 74,509/x
  3. Step 3: Cross multiply
    34,141x = 74,509 × 74,509
  4. Step 4: Simplify right side
    34,141x = 5,551,591,081
  5. Step 5: Solve for x
    x = 5,551,591,081/34,141
  6. Step 6: Final answer
    x = 162,607.75

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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.