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Finding the Third Proportional to 74,736 and 114,293

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Solution

The third proportional to 74,736 and 114,293 is: 174,787.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,736 : 114,293 = 114,293 : x
  2. Step 2: Convert to fraction form
    74,736/114,293 = 114,293/x
  3. Step 3: Cross multiply
    74,736x = 114,293 × 114,293
  4. Step 4: Simplify right side
    74,736x = 13,062,889,849
  5. Step 5: Solve for x
    x = 13,062,889,849/74,736
  6. Step 6: Final answer
    x = 174,787.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.