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Finding the Third Proportional to 74,368 and 104,256

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Solution

The third proportional to 74,368 and 104,256 is: 146,155.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,368 : 104,256 = 104,256 : x
  2. Step 2: Convert to fraction form
    74,368/104,256 = 104,256/x
  3. Step 3: Cross multiply
    74,368x = 104,256 × 104,256
  4. Step 4: Simplify right side
    74,368x = 10,869,313,536
  5. Step 5: Solve for x
    x = 10,869,313,536/74,368
  6. Step 6: Final answer
    x = 146,155.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.