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Finding the Third Proportional to 34,268 and 74,746

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Solution

The third proportional to 34,268 and 74,746 is: 163,037.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,268 : 74,746 = 74,746 : x
  2. Step 2: Convert to fraction form
    34,268/74,746 = 74,746/x
  3. Step 3: Cross multiply
    34,268x = 74,746 × 74,746
  4. Step 4: Simplify right side
    34,268x = 5,586,964,516
  5. Step 5: Solve for x
    x = 5,586,964,516/34,268
  6. Step 6: Final answer
    x = 163,037.37

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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.